Atkin-Lehner |
2+ 3- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
92352y |
Isogeny class |
Conductor |
92352 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-7480512 = -1 · 26 · 35 · 13 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 4 2 -3 13+ -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2231,-41313] |
[a1,a2,a3,a4,a6] |
Generators |
[9230:56181:125] |
Generators of the group modulo torsion |
j |
-19197165016576/116883 |
j-invariant |
L |
12.085841815491 |
L(r)(E,1)/r! |
Ω |
0.3473187961508 |
Real period |
R |
6.9595092128726 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006134 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92352e1 46176t1 |
Quadratic twists by: -4 8 |