Atkin-Lehner |
2+ 5+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
125120b |
Isogeny class |
Conductor |
125120 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-131197829120 = -1 · 226 · 5 · 17 · 23 |
Discriminant |
Eigenvalues |
2+ 1 5+ 0 -1 4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3841,91999] |
[a1,a2,a3,a4,a6] |
Generators |
[57:248:1] |
Generators of the group modulo torsion |
j |
-23912763841/500480 |
j-invariant |
L |
6.7856211520087 |
L(r)(E,1)/r! |
Ω |
1.0400906914231 |
Real period |
R |
3.2620333954761 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018446 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125120bu1 3910n1 |
Quadratic twists by: -4 8 |