Atkin-Lehner |
3- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
103455n |
Isogeny class |
Conductor |
103455 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
614400 |
Modular degree for the optimal curve |
Δ |
1518282031055625 = 38 · 54 · 117 · 19 |
Discriminant |
Eigenvalues |
1 3- 5+ -4 11- -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-51750,-4112289] |
[a1,a2,a3,a4,a6] |
Generators |
[-98:153:1] |
Generators of the group modulo torsion |
j |
11867954041/1175625 |
j-invariant |
L |
3.2006655439721 |
L(r)(E,1)/r! |
Ω |
0.31855312613261 |
Real period |
R |
5.0237546873279 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000071325 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34485p1 9405j1 |
Quadratic twists by: -3 -11 |