Atkin-Lehner |
2+ 3- 41- 43- |
Signs for the Atkin-Lehner involutions |
Class |
31734i |
Isogeny class |
Conductor |
31734 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
78848 |
Modular degree for the optimal curve |
Δ |
-17269502662656 = -1 · 211 · 314 · 41 · 43 |
Discriminant |
Eigenvalues |
2+ 3- -3 0 5 -1 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4266,227956] |
[a1,a2,a3,a4,a6] |
j |
-11779205551777/23689304064 |
j-invariant |
L |
1.2331910806745 |
L(r)(E,1)/r! |
Ω |
0.61659554033937 |
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 |
10578g1 |
Quadratic twists by: -3 |