Atkin-Lehner |
3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
70785q |
Isogeny class |
Conductor |
70785 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
114240 |
Modular degree for the optimal curve |
Δ |
-251836253955 = -1 · 37 · 5 · 116 · 13 |
Discriminant |
Eigenvalues |
2 3- 5+ 3 11- 13+ 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-363,-24291] |
[a1,a2,a3,a4,a6] |
Generators |
[114478:498443:2744] |
Generators of the group modulo torsion |
j |
-4096/195 |
j-invariant |
L |
13.877442901421 |
L(r)(E,1)/r! |
Ω |
0.43160039262404 |
Real period |
R |
8.0383632283383 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998552 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23595r1 585g1 |
Quadratic twists by: -3 -11 |