Atkin-Lehner |
2+ 3- 7- 23+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
124614h |
Isogeny class |
Conductor |
124614 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
125952 |
Modular degree for the optimal curve |
Δ |
242249616 = 24 · 37 · 7 · 23 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 4 2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3906,-92988] |
[a1,a2,a3,a4,a6] |
j |
9041811349537/332304 |
j-invariant |
L |
2.4155852727851 |
L(r)(E,1)/r! |
Ω |
0.60389612221257 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41538o1 |
Quadratic twists by: -3 |