Atkin-Lehner |
3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
17787bc |
Isogeny class |
Conductor |
17787 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
17652468790341 = 311 · 77 · 112 |
Discriminant |
Eigenvalues |
-2 3- -1 7- 11- -6 -7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-34316,2427002] |
[a1,a2,a3,a4,a6] |
Generators |
[-155:2011:1] [-47:1984:1] |
Generators of the group modulo torsion |
j |
313944395776/1240029 |
j-invariant |
L |
4.2775399447179 |
L(r)(E,1)/r! |
Ω |
0.69459121567079 |
Real period |
R |
0.13996263519036 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53361bs1 2541e1 17787x1 |
Quadratic twists by: -3 -7 -11 |