Atkin-Lehner |
2+ 7- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
48314j |
Isogeny class |
Conductor |
48314 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
155520 |
Modular degree for the optimal curve |
Δ |
6889585676288 = 212 · 76 · 17 · 292 |
Discriminant |
Eigenvalues |
2+ -2 2 7- -2 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-13550,-594912] |
[a1,a2,a3,a4,a6] |
Generators |
[1541:59549:1] |
Generators of the group modulo torsion |
j |
2338337977417/58560512 |
j-invariant |
L |
3.208348627017 |
L(r)(E,1)/r! |
Ω |
0.44318162778696 |
Real period |
R |
3.6196769290955 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000056 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
986c1 |
Quadratic twists by: -7 |