Atkin-Lehner |
2- 3- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
119646bx |
Isogeny class |
Conductor |
119646 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
784997406 = 2 · 310 · 172 · 23 |
Discriminant |
Eigenvalues |
2- 3- -1 5 -2 -4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5333,151215] |
[a1,a2,a3,a4,a6] |
Generators |
[310:165:8] |
Generators of the group modulo torsion |
j |
79604339689/3726 |
j-invariant |
L |
11.508364733576 |
L(r)(E,1)/r! |
Ω |
1.5006693164124 |
Real period |
R |
1.9172053094122 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007981 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39882i1 119646cy1 |
Quadratic twists by: -3 17 |