Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800fi |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
-2678462640000000 = -1 · 210 · 314 · 57 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13800,-2567000] |
[a1,a2,a3,a4,a6] |
Generators |
[134382:9477728:27] |
Generators of the group modulo torsion |
j |
-24918016/229635 |
j-invariant |
L |
7.7286898832014 |
L(r)(E,1)/r! |
Ω |
0.19254011173382 |
Real period |
R |
10.035168554384 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999796675 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800mc1 12600ce1 33600dc1 20160cb1 |
Quadratic twists by: -4 8 -3 5 |