Atkin-Lehner |
2- 3- 7+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
41412d |
Isogeny class |
Conductor |
41412 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
6101273194128 = 24 · 33 · 73 · 175 · 29 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 2 0 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4698,33669] |
[a1,a2,a3,a4,a6] |
j |
716861416288000/381329574633 |
j-invariant |
L |
1.9847754957839 |
L(r)(E,1)/r! |
Ω |
0.66159183189756 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124236l1 |
Quadratic twists by: -3 |