Atkin-Lehner |
2+ 5+ 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
31150b |
Isogeny class |
Conductor |
31150 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
52224 |
Modular degree for the optimal curve |
Δ |
700216115200 = 217 · 52 · 74 · 89 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7+ -4 5 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3986,-88412] |
[a1,a2,a3,a4,a6] |
j |
280052177867905/28008644608 |
j-invariant |
L |
1.2094755055804 |
L(r)(E,1)/r! |
Ω |
0.60473775279185 |
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 |
31150bg1 |
Quadratic twists by: 5 |