Atkin-Lehner |
2+ 3- 11- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
95238bk |
Isogeny class |
Conductor |
95238 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-8157459352246776 = -1 · 23 · 316 · 113 · 13 · 372 |
Discriminant |
Eigenvalues |
2+ 3- -3 1 11- 13+ 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-139311,-20445179] |
[a1,a2,a3,a4,a6] |
j |
-410160814080220657/11189930524344 |
j-invariant |
L |
1.4803190363511 |
L(r)(E,1)/r! |
Ω |
0.12335993379482 |
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 |
31746x1 |
Quadratic twists by: -3 |