Atkin-Lehner |
2+ 3+ 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
31800i |
Isogeny class |
Conductor |
31800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-269664000 = -1 · 28 · 3 · 53 · 532 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 0 -4 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-348,-2508] |
[a1,a2,a3,a4,a6] |
j |
-146069264/8427 |
j-invariant |
L |
1.1014113576253 |
L(r)(E,1)/r! |
Ω |
0.55070567881135 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63600ba1 95400bj1 31800bc1 |
Quadratic twists by: -4 -3 5 |