Atkin-Lehner |
2+ 5- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
125120be |
Isogeny class |
Conductor |
125120 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-5924401971200 = -1 · 221 · 52 · 173 · 23 |
Discriminant |
Eigenvalues |
2+ -1 5- -1 0 4 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4415,-32575] |
[a1,a2,a3,a4,a6] |
Generators |
[305:5440:1] |
Generators of the group modulo torsion |
j |
36297569231/22599800 |
j-invariant |
L |
5.5716274824624 |
L(r)(E,1)/r! |
Ω |
0.43650442481829 |
Real period |
R |
0.53184144567428 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000003291 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125120dd1 3910k1 |
Quadratic twists by: -4 8 |