Atkin-Lehner |
2- 3+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
84966dk |
Isogeny class |
Conductor |
84966 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
166320 |
Modular degree for the optimal curve |
Δ |
-117913945548 = -1 · 22 · 3 · 76 · 174 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- -4 5 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-295,-16759] |
[a1,a2,a3,a4,a6] |
j |
-289/12 |
j-invariant |
L |
2.7526341119494 |
L(r)(E,1)/r! |
Ω |
0.45877234269347 |
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 |
1734m1 84966ea1 |
Quadratic twists by: -7 17 |