Atkin-Lehner |
2- 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
34650cx |
Isogeny class |
Conductor |
34650 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-450130527000000 = -1 · 26 · 312 · 56 · 7 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11- -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,17320,-526053] |
[a1,a2,a3,a4,a6] |
j |
50447927375/39517632 |
j-invariant |
L |
3.5250721862349 |
L(r)(E,1)/r! |
Ω |
0.29375601552092 |
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 |
11550a1 1386d1 |
Quadratic twists by: -3 5 |