Atkin-Lehner |
2+ 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
34650bj |
Isogeny class |
Conductor |
34650 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
-499053804480000000 = -1 · 212 · 310 · 57 · 74 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11- -2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-214317,-51069659] |
[a1,a2,a3,a4,a6] |
j |
-95575628340361/43812679680 |
j-invariant |
L |
0.86837553723396 |
L(r)(E,1)/r! |
Ω |
0.10854694215342 |
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 |
11550bq1 6930x1 |
Quadratic twists by: -3 5 |