Atkin-Lehner |
2- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
9520i |
Isogeny class |
Conductor |
9520 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
68640 |
Modular degree for the optimal curve |
Δ |
-1166200000000000 = -1 · 212 · 511 · 73 · 17 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- -2 -1 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-159941,-24728141] |
[a1,a2,a3,a4,a6] |
j |
-110470393399988224/284716796875 |
j-invariant |
L |
0.35804167997434 |
L(r)(E,1)/r! |
Ω |
0.11934722665811 |
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 |
595a1 38080bs1 85680fo1 47600q1 |
Quadratic twists by: -4 8 -3 5 |