Atkin-Lehner |
2+ 5+ 17- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
70550i |
Isogeny class |
Conductor |
70550 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
125952 |
Modular degree for the optimal curve |
Δ |
-39300300800 = -1 · 216 · 52 · 172 · 83 |
Discriminant |
Eigenvalues |
2+ 3 5+ -1 -1 4 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,8,9536] |
[a1,a2,a3,a4,a6] |
j |
2109375/1572012032 |
j-invariant |
L |
3.6472792910992 |
L(r)(E,1)/r! |
Ω |
0.91181981025173 |
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 |
70550bg1 |
Quadratic twists by: 5 |