Atkin-Lehner |
2+ 5+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
125120v |
Isogeny class |
Conductor |
125120 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
844800 |
Modular degree for the optimal curve |
Δ |
-87662191087452160 = -1 · 229 · 5 · 175 · 23 |
Discriminant |
Eigenvalues |
2+ 2 5+ -2 2 -1 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,85119,10533761] |
[a1,a2,a3,a4,a6] |
Generators |
[1088:37281:1] |
Generators of the group modulo torsion |
j |
260170604658719/334404720640 |
j-invariant |
L |
8.5711104321662 |
L(r)(E,1)/r! |
Ω |
0.22861927209773 |
Real period |
R |
3.7490760737912 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002187 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125120ce1 3910q1 |
Quadratic twists by: -4 8 |