Atkin-Lehner |
2+ 3- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
7650bf |
Isogeny class |
Conductor |
7650 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3360 |
Modular degree for the optimal curve |
Δ |
-198288000 = -1 · 27 · 36 · 53 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 6 -3 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-162,-1004] |
[a1,a2,a3,a4,a6] |
j |
-5177717/2176 |
j-invariant |
L |
1.3108666936055 |
L(r)(E,1)/r! |
Ω |
0.65543334680275 |
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 |
61200hd1 850l1 7650cg1 |
Quadratic twists by: -4 -3 5 |