Atkin-Lehner |
2- 5+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
125120ce |
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 |
[357:8092:1] |
Generators of the group modulo torsion |
j |
260170604658719/334404720640 |
j-invariant |
L |
4.0394091171567 |
L(r)(E,1)/r! |
Ω |
0.18175652742084 |
Real period |
R |
2.2224286146592 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000010582 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125120v1 31280bf1 |
Quadratic twists by: -4 8 |