Atkin-Lehner |
2+ 5+ 11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
107690c |
Isogeny class |
Conductor |
107690 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
950400 |
Modular degree for the optimal curve |
Δ |
52464336124750 = 2 · 53 · 119 · 89 |
Discriminant |
Eigenvalues |
2+ 1 5+ -5 11+ -2 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-410919,-101420508] |
[a1,a2,a3,a4,a6] |
j |
3254293315259/22250 |
j-invariant |
L |
1.5085187492118 |
L(r)(E,1)/r! |
Ω |
0.1885648777155 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107690w1 |
Quadratic twists by: -11 |