Atkin-Lehner |
2+ 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
79200a |
Isogeny class |
Conductor |
79200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
26198073000000 = 26 · 39 · 56 · 113 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11+ 0 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-299025,62937000] |
[a1,a2,a3,a4,a6] |
Generators |
[1540:57050:1] |
Generators of the group modulo torsion |
j |
150229394496/1331 |
j-invariant |
L |
6.7918196482651 |
L(r)(E,1)/r! |
Ω |
0.60248113888666 |
Real period |
R |
5.636541303024 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001487 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79200g1 79200cq1 3168o1 |
Quadratic twists by: -4 -3 5 |