Atkin-Lehner |
2+ 5- 29- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
71920f |
Isogeny class |
Conductor |
71920 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
48320 |
Modular degree for the optimal curve |
Δ |
-5753600000 = -1 · 211 · 55 · 29 · 31 |
Discriminant |
Eigenvalues |
2+ -1 5- 0 -2 -6 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3480,80272] |
[a1,a2,a3,a4,a6] |
Generators |
[24:100:1] |
Generators of the group modulo torsion |
j |
-2276440392242/2809375 |
j-invariant |
L |
4.3244448909425 |
L(r)(E,1)/r! |
Ω |
1.3459078630078 |
Real period |
R |
0.16065159473987 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991672 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35960d1 |
Quadratic twists by: -4 |