Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
60984bd |
Isogeny class |
Conductor |
60984 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-54886190200224768 = -1 · 210 · 36 · 73 · 118 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11- 6 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,92565,3090582] |
[a1,a2,a3,a4,a6] |
j |
66325500/41503 |
j-invariant |
L |
2.6305568906939 |
L(r)(E,1)/r! |
Ω |
0.21921307435045 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121968bd1 6776i1 5544p1 |
Quadratic twists by: -4 -3 -11 |