Atkin-Lehner |
2+ 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
126150bt |
Isogeny class |
Conductor |
126150 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
369600 |
Modular degree for the optimal curve |
Δ |
-2743762500000 = -1 · 25 · 32 · 58 · 293 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 6 2 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-76,-79702] |
[a1,a2,a3,a4,a6] |
j |
-5/288 |
j-invariant |
L |
4.4240684111958 |
L(r)(E,1)/r! |
Ω |
0.36867236652342 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126150cl1 126150cq1 |
Quadratic twists by: 5 29 |