Atkin-Lehner |
2- 5+ 7+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
123760y |
Isogeny class |
Conductor |
123760 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
31104 |
Modular degree for the optimal curve |
Δ |
-35766640 = -1 · 24 · 5 · 7 · 13 · 173 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ -3 13- 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,34,-289] |
[a1,a2,a3,a4,a6] |
j |
263757056/2235415 |
j-invariant |
L |
3.064302633852 |
L(r)(E,1)/r! |
Ω |
1.0214341247167 |
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 |
30940f1 |
Quadratic twists by: -4 |