Atkin-Lehner |
2+ 3- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
36432k |
Isogeny class |
Conductor |
36432 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
299870269433856 = 211 · 314 · 113 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -1 1 11+ 5 7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16923,154474] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:414:1] |
Generators of the group modulo torsion |
j |
359003179442/200851893 |
j-invariant |
L |
5.86702537559 |
L(r)(E,1)/r! |
Ω |
0.47205278936407 |
Real period |
R |
3.1071871132746 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18216i1 12144i1 |
Quadratic twists by: -4 -3 |