Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
103488ik |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
458752 |
Modular degree for the optimal curve |
Δ |
-1619991356239872 = -1 · 212 · 34 · 79 · 112 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11- 0 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,26983,925287] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:792:1] |
Generators of the group modulo torsion |
j |
13144256/9801 |
j-invariant |
L |
10.690507994243 |
L(r)(E,1)/r! |
Ω |
0.30294482385159 |
Real period |
R |
2.2055394144045 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003677 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103488fk1 51744j1 103488gk1 |
Quadratic twists by: -4 8 -7 |