Atkin-Lehner |
2+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
59150o |
Isogeny class |
Conductor |
59150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-2111728937500 = -1 · 22 · 56 · 7 · 136 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 0 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2200,79500] |
[a1,a2,a3,a4,a6] |
j |
-15625/28 |
j-invariant |
L |
1.4745313405107 |
L(r)(E,1)/r! |
Ω |
0.73726567095366 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2366j1 350d1 |
Quadratic twists by: 5 13 |