Atkin-Lehner |
2- 3+ 5- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
74100q |
Isogeny class |
Conductor |
74100 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
60206250000 = 24 · 3 · 58 · 132 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 2 13- -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3458,78537] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:325:1] |
Generators of the group modulo torsion |
j |
731887360/9633 |
j-invariant |
L |
4.2746184240743 |
L(r)(E,1)/r! |
Ω |
1.1134309624218 |
Real period |
R |
0.21328560941705 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998884 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74100v1 |
Quadratic twists by: 5 |