Atkin-Lehner |
2- 3+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
61200el |
Isogeny class |
Conductor |
61200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
1070755200000000 = 213 · 39 · 58 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- 5 5 0 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1015875,-394098750] |
[a1,a2,a3,a4,a6] |
j |
3681571635/34 |
j-invariant |
L |
4.8121560785575 |
L(r)(E,1)/r! |
Ω |
0.15037987764714 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7650l1 61200ed1 61200dj1 |
Quadratic twists by: -4 -3 5 |