Atkin-Lehner |
2+ 5- 23- 61- |
Signs for the Atkin-Lehner involutions |
Class |
70150i |
Isogeny class |
Conductor |
70150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1599360 |
Modular degree for the optimal curve |
Δ |
2038107795200000000 = 214 · 58 · 23 · 614 |
Discriminant |
Eigenvalues |
2+ -2 5- 3 -1 -1 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1289576,-559568202] |
[a1,a2,a3,a4,a6] |
j |
607161212070051865/5217555955712 |
j-invariant |
L |
1.1339737469018 |
L(r)(E,1)/r! |
Ω |
0.141746717534 |
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 |
70150l1 |
Quadratic twists by: 5 |