Atkin-Lehner |
2- 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
61268d |
Isogeny class |
Conductor |
61268 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
-327498536192 = -1 · 28 · 176 · 53 |
Discriminant |
Eigenvalues |
2- 1 2 2 -2 -7 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1252,31972] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:178:1] |
Generators of the group modulo torsion |
j |
-35152/53 |
j-invariant |
L |
8.4287163839116 |
L(r)(E,1)/r! |
Ω |
0.86590370402849 |
Real period |
R |
3.2446704118356 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000037 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
212a1 |
Quadratic twists by: 17 |