Atkin-Lehner |
2+ 3+ 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
72618i |
Isogeny class |
Conductor |
72618 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
2006525809247232 = 210 · 3 · 77 · 133 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7- 4 13+ -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-37167,-1736475] |
[a1,a2,a3,a4,a6] |
j |
48264326765929/17055187968 |
j-invariant |
L |
0.70771529159737 |
L(r)(E,1)/r! |
Ω |
0.35385764617296 |
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 |
10374e1 |
Quadratic twists by: -7 |