Atkin-Lehner |
3+ 7- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
78771j |
Isogeny class |
Conductor |
78771 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1574400 |
Modular degree for the optimal curve |
Δ |
-128875168219140651 = -1 · 3 · 7 · 118 · 315 |
Discriminant |
Eigenvalues |
-2 3+ -3 7- 11- -7 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-214452,-41874328] |
[a1,a2,a3,a4,a6] |
Generators |
[895:21961:1] |
Generators of the group modulo torsion |
j |
-615686922293248/72746672691 |
j-invariant |
L |
1.5275762914869 |
L(r)(E,1)/r! |
Ω |
0.11019589407046 |
Real period |
R |
3.4655925787209 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004599 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7161b1 |
Quadratic twists by: -11 |