Atkin-Lehner |
2+ 3- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
37536k |
Isogeny class |
Conductor |
37536 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-734533275648 = -1 · 212 · 3 · 173 · 233 |
Discriminant |
Eigenvalues |
2+ 3- -4 2 1 1 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,335,41279] |
[a1,a2,a3,a4,a6] |
Generators |
[1:204:1] |
Generators of the group modulo torsion |
j |
1012048064/179329413 |
j-invariant |
L |
5.9400039422643 |
L(r)(E,1)/r! |
Ω |
0.69511981562377 |
Real period |
R |
1.4242158470987 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37536u1 75072v1 112608bg1 |
Quadratic twists by: -4 8 -3 |