Atkin-Lehner |
2- 3- 5- 17+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
120870bg |
Isogeny class |
Conductor |
120870 |
Conductor |
∏ cp |
396 |
Product of Tamagawa factors cp |
deg |
7907328 |
Modular degree for the optimal curve |
Δ |
-6.8972099915565E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -5 -1 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4513082,5440231289] |
[a1,a2,a3,a4,a6] |
Generators |
[-2223:68071:1] [-1551:94087:1] |
Generators of the group modulo torsion |
j |
-13944911646977485483609/9461193404055552000 |
j-invariant |
L |
17.394797335838 |
L(r)(E,1)/r! |
Ω |
0.12264018800473 |
Real period |
R |
0.35817179193741 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994047 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40290q1 |
Quadratic twists by: -3 |