Atkin-Lehner |
2- 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
37026bh |
Isogeny class |
Conductor |
37026 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-117576951624 = -1 · 23 · 310 · 114 · 17 |
Discriminant |
Eigenvalues |
2- 3- -1 3 11- -4 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-23,16503] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:108:1] |
Generators of the group modulo torsion |
j |
-121/11016 |
j-invariant |
L |
9.0408933869893 |
L(r)(E,1)/r! |
Ω |
0.83671607502373 |
Real period |
R |
0.6002894767123 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12342a1 37026i1 |
Quadratic twists by: -3 -11 |