Atkin-Lehner |
2+ 3- 31- |
Signs for the Atkin-Lehner involutions |
Class |
1488f |
Isogeny class |
Conductor |
1488 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
-333930417264 = -1 · 24 · 36 · 315 |
Discriminant |
Eigenvalues |
2+ 3- 3 -5 -4 -2 -8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,936,25839] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:93:1] |
Generators of the group modulo torsion |
j |
5661965297408/20870651079 |
j-invariant |
L |
3.2363534697861 |
L(r)(E,1)/r! |
Ω |
0.68396820506216 |
Real period |
R |
0.15772436232334 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
744d1 5952z1 4464l1 37200i1 |
Quadratic twists by: -4 8 -3 5 |