Atkin-Lehner |
2- 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
37312bg |
Isogeny class |
Conductor |
37312 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-1575258662371328 = -1 · 224 · 116 · 53 |
Discriminant |
Eigenvalues |
2- 1 0 -2 11- -5 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-20193,-2212705] |
[a1,a2,a3,a4,a6] |
Generators |
[181:308:1] [247:2816:1] |
Generators of the group modulo torsion |
j |
-3473824173625/6009134912 |
j-invariant |
L |
9.5996293267093 |
L(r)(E,1)/r! |
Ω |
0.18916007492655 |
Real period |
R |
2.1145294821587 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37312h1 9328g1 |
Quadratic twists by: -4 8 |