Atkin-Lehner |
2+ 3+ 5+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
107640b |
Isogeny class |
Conductor |
107640 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
16189054923600 = 24 · 39 · 52 · 132 · 233 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-108918,13834233] |
[a1,a2,a3,a4,a6] |
Generators |
[216:621:1] [-56:4445:1] |
Generators of the group modulo torsion |
j |
453744538933248/51405575 |
j-invariant |
L |
11.11001307554 |
L(r)(E,1)/r! |
Ω |
0.66893431062382 |
Real period |
R |
1.3840438562907 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000872 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107640v1 |
Quadratic twists by: -3 |