Atkin-Lehner |
2+ 3- 5- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
118320y |
Isogeny class |
Conductor |
118320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
45056 |
Modular degree for the optimal curve |
Δ |
386196480 = 210 · 32 · 5 · 172 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 0 -4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-480,3780] |
[a1,a2,a3,a4,a6] |
Generators |
[18:36:1] |
Generators of the group modulo torsion |
j |
11968836484/377145 |
j-invariant |
L |
8.2815390376082 |
L(r)(E,1)/r! |
Ω |
1.681687788177 |
Real period |
R |
1.2311350372636 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007916 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59160e1 |
Quadratic twists by: -4 |