Atkin-Lehner |
2- 3- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
107712dg |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13762560 |
Modular degree for the optimal curve |
Δ |
-2.1682577550265E+24 |
Discriminant |
Eigenvalues |
2- 3- 0 3 11+ 0 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-66619920,-220958340896] |
[a1,a2,a3,a4,a6] |
Generators |
[10968687037980905289173283476727127376364100474950908236308727966739874822797431715412218243:1363051917850359900857083712568585052953393829115591528168417774457798509506683634284736091661:563903086482675266121202092839460572247187327355085581286151693068884356667231112394771] |
Generators of the group modulo torsion |
j |
-2737717077365028736000/181536283769982867 |
j-invariant |
L |
7.4839185087564 |
L(r)(E,1)/r! |
Ω |
0.026321396695946 |
Real period |
R |
142.16416011672 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107712bw1 26928r1 35904da1 |
Quadratic twists by: -4 8 -3 |