Atkin-Lehner |
2- 3+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
10608s |
Isogeny class |
Conductor |
10608 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
156351312 = 24 · 32 · 13 · 174 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 0 13- 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-293,-1740] |
[a1,a2,a3,a4,a6] |
j |
174456832000/9771957 |
j-invariant |
L |
2.3152797738061 |
L(r)(E,1)/r! |
Ω |
1.1576398869031 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2652g1 42432ce1 31824bi1 |
Quadratic twists by: -4 8 -3 |