Atkin-Lehner |
2- 7- 23- 41- |
Signs for the Atkin-Lehner involutions |
Class |
92414z |
Isogeny class |
Conductor |
92414 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
2010624 |
Modular degree for the optimal curve |
Δ |
948216510865340416 = 211 · 79 · 234 · 41 |
Discriminant |
Eigenvalues |
2- 1 3 7- 0 -2 -1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1517139,-717859423] |
[a1,a2,a3,a4,a6] |
Generators |
[1474:15041:1] |
Generators of the group modulo torsion |
j |
9570122296636231/23497689088 |
j-invariant |
L |
15.379953784833 |
L(r)(E,1)/r! |
Ω |
0.13605273905824 |
Real period |
R |
1.2845915730974 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000534 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92414y1 |
Quadratic twists by: -7 |