Atkin-Lehner |
2+ 3- 41- |
Signs for the Atkin-Lehner involutions |
Class |
23616s |
Isogeny class |
Conductor |
23616 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
40617790930944 = 224 · 310 · 41 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 -4 4 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-38316,-2870480] |
[a1,a2,a3,a4,a6] |
Generators |
[90066:5192704:27] |
Generators of the group modulo torsion |
j |
32553430057/212544 |
j-invariant |
L |
4.9319836157854 |
L(r)(E,1)/r! |
Ω |
0.34137000124076 |
Real period |
R |
7.2238093532815 |
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 |
23616cc1 738g1 7872j1 |
Quadratic twists by: -4 8 -3 |