Atkin-Lehner |
2+ 3+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
92736i |
Isogeny class |
Conductor |
92736 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
-37676040192 = -1 · 214 · 33 · 7 · 233 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 5 4 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,816,2592] |
[a1,a2,a3,a4,a6] |
j |
135834624/85169 |
j-invariant |
L |
4.2937966395329 |
L(r)(E,1)/r! |
Ω |
0.71563278632312 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92736dj1 11592a1 92736d1 |
Quadratic twists by: -4 8 -3 |