Atkin-Lehner |
2+ 5- 61- |
Signs for the Atkin-Lehner involutions |
Class |
19520l |
Isogeny class |
Conductor |
19520 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2560 |
Modular degree for the optimal curve |
Δ |
-5953600 = -1 · 26 · 52 · 612 |
Discriminant |
Eigenvalues |
2+ 0 5- -2 -2 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,13,116] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:75:8] |
Generators of the group modulo torsion |
j |
3796416/93025 |
j-invariant |
L |
4.7005763498594 |
L(r)(E,1)/r! |
Ω |
1.7954956342302 |
Real period |
R |
2.6179826117342 |
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 |
19520j1 9760a2 97600i1 |
Quadratic twists by: -4 8 5 |