Atkin-Lehner |
2- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
1520i |
Isogeny class |
Conductor |
1520 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
6516050000 = 24 · 55 · 194 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 0 6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-921,-10346] |
[a1,a2,a3,a4,a6] |
Generators |
[62:418:1] |
Generators of the group modulo torsion |
j |
5405726654464/407253125 |
j-invariant |
L |
1.8884015479106 |
L(r)(E,1)/r! |
Ω |
0.87068173419411 |
Real period |
R |
2.1688769544 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
380b1 6080u1 13680bv1 7600q1 |
Quadratic twists by: -4 8 -3 5 |