Atkin-Lehner |
2- 5- 23+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
70150q |
Isogeny class |
Conductor |
70150 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
62400 |
Modular degree for the optimal curve |
Δ |
-33043456000 = -1 · 213 · 53 · 232 · 61 |
Discriminant |
Eigenvalues |
2- 0 5- -2 -4 1 -7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-115,8787] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:50:1] [3:-94:1] |
Generators of the group modulo torsion |
j |
-1334633301/264347648 |
j-invariant |
L |
13.88004026021 |
L(r)(E,1)/r! |
Ω |
0.95236937018831 |
Real period |
R |
0.28027345220561 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70150h1 |
Quadratic twists by: 5 |