Atkin-Lehner |
2- 3+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
37536u |
Isogeny class |
Conductor |
37536 |
Conductor |
∏ cp |
36 |
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 |
[33:68:1] [135:-1564:1] |
Generators of the group modulo torsion |
j |
1012048064/179329413 |
j-invariant |
L |
5.6812457661732 |
L(r)(E,1)/r! |
Ω |
0.42508928928406 |
Real period |
R |
0.3712452568718 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37536k1 75072bw1 112608i1 |
Quadratic twists by: -4 8 -3 |