Atkin-Lehner |
2- 5- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
103880bc |
Isogeny class |
Conductor |
103880 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
264192 |
Modular degree for the optimal curve |
Δ |
5988475278800 = 24 · 52 · 710 · 53 |
Discriminant |
Eigenvalues |
2- 0 5- 7- -4 -6 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22442,-1288651] |
[a1,a2,a3,a4,a6] |
Generators |
[-82:15:1] |
Generators of the group modulo torsion |
j |
664049055744/3181325 |
j-invariant |
L |
4.25006269336 |
L(r)(E,1)/r! |
Ω |
0.39017494921189 |
Real period |
R |
2.723177579624 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999954377 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14840f1 |
Quadratic twists by: -7 |