Atkin-Lehner |
2- 5- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
100510p |
Isogeny class |
Conductor |
100510 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
883200 |
Modular degree for the optimal curve |
Δ |
-43804032726780160 = -1 · 28 · 5 · 19 · 239 |
Discriminant |
Eigenvalues |
2- -2 5- -2 -1 1 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-127500,-20221040] |
[a1,a2,a3,a4,a6] |
Generators |
[3526:22571:8] |
Generators of the group modulo torsion |
j |
-127263527/24320 |
j-invariant |
L |
6.3332748738777 |
L(r)(E,1)/r! |
Ω |
0.12503291656548 |
Real period |
R |
3.1658037848403 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999778881 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100510h1 |
Quadratic twists by: -23 |