Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
18150cc |
Isogeny class |
Conductor |
18150 |
Conductor |
∏ cp |
68 |
Product of Tamagawa factors cp |
deg |
15079680 |
Modular degree for the optimal curve |
Δ |
1.0084470684869E+27 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 11- -5 -7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-429171938,-3062290717969] |
[a1,a2,a3,a4,a6] |
Generators |
[-11975:605987:1] |
Generators of the group modulo torsion |
j |
21571025211960961/2488320000000 |
j-invariant |
L |
5.315451917951 |
L(r)(E,1)/r! |
Ω |
0.033419107513022 |
Real period |
R |
2.3390334564633 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54450cj1 3630l1 18150l1 |
Quadratic twists by: -3 5 -11 |