Atkin-Lehner |
2- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
118336bc |
Isogeny class |
Conductor |
118336 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2311680 |
Modular degree for the optimal curve |
Δ |
765997893392859136 = 216 · 438 |
Discriminant |
Eigenvalues |
2- -3 -1 -1 4 -5 -1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-318028,54700816] |
[a1,a2,a3,a4,a6] |
Generators |
[0:-7396:1] [186:1408:1] |
Generators of the group modulo torsion |
j |
4644 |
j-invariant |
L |
6.4291873676615 |
L(r)(E,1)/r! |
Ω |
0.26817163935831 |
Real period |
R |
1.9978459142155 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994646 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118336i1 29584d1 118336bm1 |
Quadratic twists by: -4 8 -43 |