Atkin-Lehner |
2- 3- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
92736ez |
Isogeny class |
Conductor |
92736 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
602112 |
Modular degree for the optimal curve |
Δ |
-52359478595730432 = -1 · 210 · 36 · 78 · 233 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -2 1 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-303084,65160072] |
[a1,a2,a3,a4,a6] |
j |
-4124632486295808/70140333767 |
j-invariant |
L |
2.8454846130065 |
L(r)(E,1)/r! |
Ω |
0.35568557673715 |
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 |
92736bn1 23184m1 10304bl1 |
Quadratic twists by: -4 8 -3 |