Atkin-Lehner |
2+ 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
93600bv |
Isogeny class |
Conductor |
93600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3686400 |
Modular degree for the optimal curve |
Δ |
-2.238429492E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 -3 13- -7 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4417500,3580900000] |
[a1,a2,a3,a4,a6] |
Generators |
[3404:167292:1] |
Generators of the group modulo torsion |
j |
-326938350400/767637 |
j-invariant |
L |
5.3746923804123 |
L(r)(E,1)/r! |
Ω |
0.21482941477254 |
Real period |
R |
6.2546048170222 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019563 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93600el1 31200cf1 93600ex1 |
Quadratic twists by: -4 -3 5 |