Atkin-Lehner |
2- 3- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
33396l |
Isogeny class |
Conductor |
33396 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
126720 |
Modular degree for the optimal curve |
Δ |
-210857114319984 = -1 · 24 · 35 · 119 · 23 |
Discriminant |
Eigenvalues |
2- 3- -1 3 11+ -4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-66106,-6601267] |
[a1,a2,a3,a4,a6] |
Generators |
[13229:1521333:1] |
Generators of the group modulo torsion |
j |
-846834944/5589 |
j-invariant |
L |
6.8247841499309 |
L(r)(E,1)/r! |
Ω |
0.1488118543588 |
Real period |
R |
4.586183123204 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100188o1 33396m1 |
Quadratic twists by: -3 -11 |