Atkin-Lehner |
2- 5- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
125120df |
Isogeny class |
Conductor |
125120 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
1044480 |
Modular degree for the optimal curve |
Δ |
-22643212443975680 = -1 · 218 · 5 · 175 · 233 |
Discriminant |
Eigenvalues |
2- -1 5- -4 -1 4 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-296225,62575297] |
[a1,a2,a3,a4,a6] |
Generators |
[267:1564:1] |
Generators of the group modulo torsion |
j |
-10966054014452809/86377000595 |
j-invariant |
L |
4.9832241988633 |
L(r)(E,1)/r! |
Ω |
0.38275609139976 |
Real period |
R |
0.43397734285187 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000107726 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125120bd1 31280q1 |
Quadratic twists by: -4 8 |