Atkin-Lehner |
2+ 5- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
95680r |
Isogeny class |
Conductor |
95680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
29184 |
Modular degree for the optimal curve |
Δ |
11960000 = 26 · 54 · 13 · 23 |
Discriminant |
Eigenvalues |
2+ 0 5- -4 0 13+ -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-407,-3156] |
[a1,a2,a3,a4,a6] |
Generators |
[24:30:1] |
Generators of the group modulo torsion |
j |
116500279104/186875 |
j-invariant |
L |
3.7988006850881 |
L(r)(E,1)/r! |
Ω |
1.0630233233267 |
Real period |
R |
3.5735816896174 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003189 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95680o1 47840e4 |
Quadratic twists by: -4 8 |