Atkin-Lehner |
3- 7+ 19- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
99351c |
Isogeny class |
Conductor |
99351 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
154240 |
Modular degree for the optimal curve |
Δ |
57965645493 = 37 · 75 · 19 · 83 |
Discriminant |
Eigenvalues |
0 3- 4 7+ 0 2 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-5808,-169974] |
[a1,a2,a3,a4,a6] |
Generators |
[-9210:2557:216] |
Generators of the group modulo torsion |
j |
29721861554176/79513917 |
j-invariant |
L |
7.2635512611013 |
L(r)(E,1)/r! |
Ω |
0.54696902438661 |
Real period |
R |
6.6398195533264 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020278 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33117c1 |
Quadratic twists by: -3 |