Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
8820bc |
Isogeny class |
Conductor |
8820 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
71485204192290000 = 24 · 311 · 54 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 6 0 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-275772,54236189] |
[a1,a2,a3,a4,a6] |
Generators |
[163:3690:1] |
Generators of the group modulo torsion |
j |
4927700992/151875 |
j-invariant |
L |
4.9513216759318 |
L(r)(E,1)/r! |
Ω |
0.3442911979529 |
Real period |
R |
3.5953007986927 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35280fw1 2940c1 44100cl1 8820q1 |
Quadratic twists by: -4 -3 5 -7 |