Atkin-Lehner |
2+ 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
93600bn |
Isogeny class |
Conductor |
93600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-710775000000 = -1 · 26 · 37 · 58 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 0 13- 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2175,11000] |
[a1,a2,a3,a4,a6] |
Generators |
[20:250:1] |
Generators of the group modulo torsion |
j |
1560896/975 |
j-invariant |
L |
7.5245676766657 |
L(r)(E,1)/r! |
Ω |
0.55974798517938 |
Real period |
R |
1.6803472003266 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999978584 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93600br1 31200bn1 18720be1 |
Quadratic twists by: -4 -3 5 |