Atkin-Lehner |
2+ 5+ 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
7130b |
Isogeny class |
Conductor |
7130 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2432 |
Modular degree for the optimal curve |
Δ |
-285200 = -1 · 24 · 52 · 23 · 31 |
Discriminant |
Eigenvalues |
2+ -3 5+ -3 -2 -4 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-85,325] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:15:1] [174:-187:27] |
Generators of the group modulo torsion |
j |
-68367756969/285200 |
j-invariant |
L |
2.4004126656801 |
L(r)(E,1)/r! |
Ω |
3.0981305008451 |
Real period |
R |
0.1936984792139 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57040h1 64170bf1 35650g1 |
Quadratic twists by: -4 -3 5 |