Atkin-Lehner |
2+ 3- 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
33456f |
Isogeny class |
Conductor |
33456 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
6423552 = 210 · 32 · 17 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 -4 0 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2088,36036] |
[a1,a2,a3,a4,a6] |
Generators |
[24:18:1] [-24:270:1] |
Generators of the group modulo torsion |
j |
983610638500/6273 |
j-invariant |
L |
9.0640122425778 |
L(r)(E,1)/r! |
Ω |
2.1210596045094 |
Real period |
R |
2.1366707996578 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16728d1 100368y1 |
Quadratic twists by: -4 -3 |