Atkin-Lehner |
2+ 5- 23- 61- |
Signs for the Atkin-Lehner involutions |
Class |
70150h |
Isogeny class |
Conductor |
70150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
312000 |
Modular degree for the optimal curve |
Δ |
-516304000000000 = -1 · 213 · 59 · 232 · 61 |
Discriminant |
Eigenvalues |
2+ 0 5- 2 -4 -1 7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2867,1095541] |
[a1,a2,a3,a4,a6] |
j |
-1334633301/264347648 |
j-invariant |
L |
1.7036501023165 |
L(r)(E,1)/r! |
Ω |
0.42591253028595 |
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 |
70150q1 |
Quadratic twists by: 5 |