Atkin-Lehner |
2+ 5+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
125120r |
Isogeny class |
Conductor |
125120 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-185137561600000 = -1 · 219 · 55 · 173 · 23 |
Discriminant |
Eigenvalues |
2+ -2 5+ -2 -2 5 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,11679,-434945] |
[a1,a2,a3,a4,a6] |
Generators |
[34:51:1] [51:544:1] |
Generators of the group modulo torsion |
j |
671991189479/706243750 |
j-invariant |
L |
7.7881657370205 |
L(r)(E,1)/r! |
Ω |
0.3079800761095 |
Real period |
R |
2.1073240176341 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001233 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125120cj1 3910h1 |
Quadratic twists by: -4 8 |