Atkin-Lehner |
2+ 3- 17+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
123114k |
Isogeny class |
Conductor |
123114 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
201277440 |
Modular degree for the optimal curve |
Δ |
3.4245977167791E+21 |
Discriminant |
Eigenvalues |
2+ 3- -4 3 -5 -5 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-9623003083,-363341503913098] |
[a1,a2,a3,a4,a6] |
Generators |
[-165616666072:83097294691:2924207] |
Generators of the group modulo torsion |
j |
4082837157516340847666290249/141878319095808 |
j-invariant |
L |
3.9659304739445 |
L(r)(E,1)/r! |
Ω |
0.01524305085126 |
Real period |
R |
8.6726524601138 |
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 |
7242d1 |
Quadratic twists by: 17 |