Atkin-Lehner |
2+ 7+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
41888a |
Isogeny class |
Conductor |
41888 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
518400 |
Modular degree for the optimal curve |
Δ |
-54470371587444736 = -1 · 212 · 75 · 115 · 173 |
Discriminant |
Eigenvalues |
2+ 2 -3 7+ 11+ -3 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-456897,-119247919] |
[a1,a2,a3,a4,a6] |
j |
-2575251412862413888/13298430563341 |
j-invariant |
L |
1.1014429991498 |
L(r)(E,1)/r! |
Ω |
0.091786916587209 |
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 |
41888e1 83776bb1 |
Quadratic twists by: -4 8 |