Atkin-Lehner |
2- 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
61200dv |
Isogeny class |
Conductor |
61200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
94003200 = 213 · 33 · 52 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -5 -5 0 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4515,116770] |
[a1,a2,a3,a4,a6] |
Generators |
[41:-24:1] |
Generators of the group modulo torsion |
j |
3681571635/34 |
j-invariant |
L |
3.2351497278195 |
L(r)(E,1)/r! |
Ω |
1.7148763380437 |
Real period |
R |
0.23581508884365 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991543 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7650f1 61200dj1 61200ed1 |
Quadratic twists by: -4 -3 5 |