Atkin-Lehner |
2+ 3- 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
61710v |
Isogeny class |
Conductor |
61710 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2407680 |
Modular degree for the optimal curve |
Δ |
-1737689550882450000 = -1 · 24 · 3 · 55 · 119 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 5 11+ 7 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-224579,75482702] |
[a1,a2,a3,a4,a6] |
Generators |
[633:225940:27] |
Generators of the group modulo torsion |
j |
-531244194299/736950000 |
j-invariant |
L |
7.1204129625666 |
L(r)(E,1)/r! |
Ω |
0.23891471913636 |
Real period |
R |
2.4835964440007 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000237 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61710ce1 |
Quadratic twists by: -11 |