Atkin-Lehner |
2+ 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
122400bb |
Isogeny class |
Conductor |
122400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-1269043200 = -1 · 212 · 36 · 52 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 4 -7 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3900,-93760] |
[a1,a2,a3,a4,a6] |
Generators |
[2292741:128553067:729] |
Generators of the group modulo torsion |
j |
-87880000/17 |
j-invariant |
L |
7.527082152354 |
L(r)(E,1)/r! |
Ω |
0.30206358129939 |
Real period |
R |
12.459433340777 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000053941 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122400bc1 13600o1 122400eb1 |
Quadratic twists by: -4 -3 5 |