Atkin-Lehner |
2+ 3- 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
29280l |
Isogeny class |
Conductor |
29280 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
2382755745600 = 26 · 38 · 52 · 613 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -2 2 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-302506,63938900] |
[a1,a2,a3,a4,a6] |
Generators |
[329:-366:1] |
Generators of the group modulo torsion |
j |
47835151396101078976/37230558525 |
j-invariant |
L |
5.8801940612026 |
L(r)(E,1)/r! |
Ω |
0.67954027475748 |
Real period |
R |
0.36054976428127 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29280e1 58560cr2 87840br1 |
Quadratic twists by: -4 8 -3 |