Atkin-Lehner |
2+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
59248p |
Isogeny class |
Conductor |
59248 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
90112 |
Modular degree for the optimal curve |
Δ |
-1061121252352 = -1 · 210 · 7 · 236 |
Discriminant |
Eigenvalues |
2+ -2 4 7- 0 0 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-176,-49628] |
[a1,a2,a3,a4,a6] |
Generators |
[88:790:1] |
Generators of the group modulo torsion |
j |
-4/7 |
j-invariant |
L |
6.3850209714812 |
L(r)(E,1)/r! |
Ω |
0.39535130081426 |
Real period |
R |
4.0375616306765 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000405 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29624d1 112a1 |
Quadratic twists by: -4 -23 |