Atkin-Lehner |
2+ 3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
60984f |
Isogeny class |
Conductor |
60984 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
26400283886592 = 210 · 33 · 72 · 117 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 11- -4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-64251,6263686] |
[a1,a2,a3,a4,a6] |
Generators |
[110:726:1] [135:224:1] |
Generators of the group modulo torsion |
j |
598885164/539 |
j-invariant |
L |
8.6247929187743 |
L(r)(E,1)/r! |
Ω |
0.66438297316063 |
Real period |
R |
1.6227073215291 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999976 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121968w1 60984bo1 5544n1 |
Quadratic twists by: -4 -3 -11 |