Atkin-Lehner |
3- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
31311i |
Isogeny class |
Conductor |
31311 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
741888 |
Modular degree for the optimal curve |
Δ |
-185706175551888411 = -1 · 327 · 73 · 71 |
Discriminant |
Eigenvalues |
1 3- -3 7- 3 -1 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4813776,4066409871] |
[a1,a2,a3,a4,a6] |
j |
-49335524141413238119/742685077413 |
j-invariant |
L |
2.3374444066257 |
L(r)(E,1)/r! |
Ω |
0.29218055082824 |
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 |
10437d1 31311h1 |
Quadratic twists by: -3 -7 |