Atkin-Lehner |
2+ 3+ 7- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
72618s |
Isogeny class |
Conductor |
72618 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
30000 |
Modular degree for the optimal curve |
Δ |
-94112928 = -1 · 25 · 35 · 72 · 13 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 5 13- 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-116,624] |
[a1,a2,a3,a4,a6] |
j |
-3570576793/1920672 |
j-invariant |
L |
1.7676266095836 |
L(r)(E,1)/r! |
Ω |
1.7676265846757 |
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 |
72618t1 |
Quadratic twists by: -7 |