Atkin-Lehner |
5+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
122525a |
Isogeny class |
Conductor |
122525 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1612800 |
Modular degree for the optimal curve |
Δ |
142164608828125 = 57 · 137 · 29 |
Discriminant |
Eigenvalues |
0 1 5+ 1 0 13+ -5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-9342883,-10994931606] |
[a1,a2,a3,a4,a6] |
Generators |
[-151277146409448:201788081998:85707789929] |
Generators of the group modulo torsion |
j |
1195876549033984/1885 |
j-invariant |
L |
5.448927786405 |
L(r)(E,1)/r! |
Ω |
0.086353376443302 |
Real period |
R |
15.775086078952 |
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 |
24505b1 9425d1 |
Quadratic twists by: 5 13 |