Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
11700l |
Isogeny class |
Conductor |
11700 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-4912876800 = -1 · 28 · 310 · 52 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 -1 13+ 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-615,-6770] |
[a1,a2,a3,a4,a6] |
Generators |
[206:2934:1] |
Generators of the group modulo torsion |
j |
-5513680/1053 |
j-invariant |
L |
4.0784994741246 |
L(r)(E,1)/r! |
Ω |
0.47444478564018 |
Real period |
R |
4.2981813664802 |
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 |
46800dg1 3900j1 11700x1 |
Quadratic twists by: -4 -3 5 |