Atkin-Lehner |
2+ 3- 7+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
107184x |
Isogeny class |
Conductor |
107184 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
675840 |
Modular degree for the optimal curve |
Δ |
614107726848 = 210 · 33 · 74 · 11 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 4 7+ 11+ -4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-237776,-44706588] |
[a1,a2,a3,a4,a6] |
Generators |
[1168:35670:1] |
Generators of the group modulo torsion |
j |
1451876355064441156/599714577 |
j-invariant |
L |
10.818744866568 |
L(r)(E,1)/r! |
Ω |
0.21620085595561 |
Real period |
R |
4.1700208315008 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999899152 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53592e1 |
Quadratic twists by: -4 |