Atkin-Lehner |
2+ 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
93600bm |
Isogeny class |
Conductor |
93600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2580480 |
Modular degree for the optimal curve |
Δ |
-4145239800000000000 = -1 · 212 · 313 · 511 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 3 13- -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10090200,-12337054000] |
[a1,a2,a3,a4,a6] |
Generators |
[2461033960:122088964398300:1] |
Generators of the group modulo torsion |
j |
-2435092894982656/88846875 |
j-invariant |
L |
6.0569762668044 |
L(r)(E,1)/r! |
Ω |
0.042353925138401 |
Real period |
R |
17.876077149319 |
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 |
93600bj1 31200bm1 18720bb1 |
Quadratic twists by: -4 -3 5 |