Atkin-Lehner |
2+ 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
23232cj |
Isogeny class |
Conductor |
23232 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
380160 |
Modular degree for the optimal curve |
Δ |
-5315009439904819776 = -1 · 26 · 318 · 118 |
Discriminant |
Eigenvalues |
2+ 3- -3 -2 11- -1 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,165488,-107795866] |
[a1,a2,a3,a4,a6] |
Generators |
[473:8748:1] |
Generators of the group modulo torsion |
j |
36534162368/387420489 |
j-invariant |
L |
4.372799276775 |
L(r)(E,1)/r! |
Ω |
0.11906229449784 |
Real period |
R |
2.0403881361329 |
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 |
23232w1 11616g1 69696dc1 23232ci1 |
Quadratic twists by: -4 8 -3 -11 |