Atkin-Lehner |
2+ 3- 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
72618x |
Isogeny class |
Conductor |
72618 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
35840 |
Modular degree for the optimal curve |
Δ |
780788736 = 210 · 32 · 73 · 13 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 2 13+ 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-250,-724] |
[a1,a2,a3,a4,a6] |
Generators |
[22:56:1] |
Generators of the group modulo torsion |
j |
5008988431/2276352 |
j-invariant |
L |
7.1551311827549 |
L(r)(E,1)/r! |
Ω |
1.2538905305561 |
Real period |
R |
2.8531721896085 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002184 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72618r1 |
Quadratic twists by: -7 |