Atkin-Lehner |
2- 3+ 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
39600cj |
Isogeny class |
Conductor |
39600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
6766031250000 = 24 · 39 · 59 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11+ 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13500,-590625] |
[a1,a2,a3,a4,a6] |
Generators |
[-299243360:-309630817:4096000] |
Generators of the group modulo torsion |
j |
442368/11 |
j-invariant |
L |
6.3022925814235 |
L(r)(E,1)/r! |
Ω |
0.44358261251728 |
Real period |
R |
14.207708786547 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9900f1 39600cq1 39600ck1 |
Quadratic twists by: -4 -3 5 |