Atkin-Lehner |
2- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
115520bz |
Isogeny class |
Conductor |
115520 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-732259728588800 = -1 · 215 · 52 · 197 |
Discriminant |
Eigenvalues |
2- -1 5+ 3 0 5 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-58241,5583841] |
[a1,a2,a3,a4,a6] |
Generators |
[621:14440:1] |
Generators of the group modulo torsion |
j |
-14172488/475 |
j-invariant |
L |
6.4551163249885 |
L(r)(E,1)/r! |
Ω |
0.50416103126534 |
Real period |
R |
0.40011498740281 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000023903 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115520bx1 57760m1 6080q1 |
Quadratic twists by: -4 8 -19 |