Atkin-Lehner |
2+ 5+ 7+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
113050j |
Isogeny class |
Conductor |
113050 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
712800 |
Modular degree for the optimal curve |
Δ |
723520000000000 = 215 · 510 · 7 · 17 · 19 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7+ 0 4 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-153450,23036500] |
[a1,a2,a3,a4,a6] |
Generators |
[13684:8667:64] |
Generators of the group modulo torsion |
j |
40919354040625/74088448 |
j-invariant |
L |
3.7827354882881 |
L(r)(E,1)/r! |
Ω |
0.50760149003619 |
Real period |
R |
7.452175690794 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009595 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113050cu1 |
Quadratic twists by: 5 |