Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
30600cg |
Isogeny class |
Conductor |
30600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1013760 |
Modular degree for the optimal curve |
Δ |
-793082026023750000 = -1 · 24 · 317 · 57 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 -5 0 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21483075,38325960875] |
[a1,a2,a3,a4,a6] |
Generators |
[3265:54675:1] |
Generators of the group modulo torsion |
j |
-6016521998966814976/4351616055 |
j-invariant |
L |
4.0436910422355 |
L(r)(E,1)/r! |
Ω |
0.23490403194516 |
Real period |
R |
1.0758891111699 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61200bm1 10200i1 6120j1 |
Quadratic twists by: -4 -3 5 |