Atkin-Lehner |
2+ 5- 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
85910h |
Isogeny class |
Conductor |
85910 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
402498659200 = 27 · 52 · 116 · 71 |
Discriminant |
Eigenvalues |
2+ -1 5- 3 11- 3 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-8472,-302144] |
[a1,a2,a3,a4,a6] |
Generators |
[237:3209:1] |
Generators of the group modulo torsion |
j |
37966934881/227200 |
j-invariant |
L |
4.9162653449764 |
L(r)(E,1)/r! |
Ω |
0.49779773990135 |
Real period |
R |
2.4690074675224 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999992774 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
710c1 |
Quadratic twists by: -11 |