Atkin-Lehner |
2- 3- 7- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
124236x |
Isogeny class |
Conductor |
124236 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1451520 |
Modular degree for the optimal curve |
Δ |
421054990731042192 = 24 · 327 · 7 · 17 · 29 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -6 -4 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-187725,-2327663] |
[a1,a2,a3,a4,a6] |
Generators |
[-208:5265:1] [-45320:531441:125] |
Generators of the group modulo torsion |
j |
62725270108000000/36098678903553 |
j-invariant |
L |
12.01302784405 |
L(r)(E,1)/r! |
Ω |
0.2495580515889 |
Real period |
R |
12.034301996368 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000008546 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41412j1 |
Quadratic twists by: -3 |