Atkin-Lehner |
2- 3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
83790ee |
Isogeny class |
Conductor |
83790 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
90720 |
Modular degree for the optimal curve |
Δ |
-81477814950 = -1 · 2 · 36 · 52 · 76 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 3 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,652,11981] |
[a1,a2,a3,a4,a6] |
Generators |
[690:25187:216] |
Generators of the group modulo torsion |
j |
357911/950 |
j-invariant |
L |
9.7425195929365 |
L(r)(E,1)/r! |
Ω |
0.75834628968099 |
Real period |
R |
6.4235295410034 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000491 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9310k1 1710q1 |
Quadratic twists by: -3 -7 |