Atkin-Lehner |
2+ 5- 11+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
100430h |
Isogeny class |
Conductor |
100430 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
475200 |
Modular degree for the optimal curve |
Δ |
-782838633412000 = -1 · 25 · 53 · 119 · 83 |
Discriminant |
Eigenvalues |
2+ -2 5- 2 11+ 1 1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,22987,-110112] |
[a1,a2,a3,a4,a6] |
Generators |
[252:4532:1] |
Generators of the group modulo torsion |
j |
569722789/332000 |
j-invariant |
L |
4.0054055327614 |
L(r)(E,1)/r! |
Ω |
0.29769652931149 |
Real period |
R |
2.2424432989592 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022703 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100430bc1 |
Quadratic twists by: -11 |