Atkin-Lehner |
7- 13- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
121849i |
Isogeny class |
Conductor |
121849 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
898560 |
Modular degree for the optimal curve |
Δ |
128503700913609931 = 76 · 139 · 103 |
Discriminant |
Eigenvalues |
1 1 -1 7- -2 13- -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-408139,-98900657] |
[a1,a2,a3,a4,a6] |
Generators |
[-75054:252725:216] |
Generators of the group modulo torsion |
j |
709016431213/12117847 |
j-invariant |
L |
6.3177290148822 |
L(r)(E,1)/r! |
Ω |
0.18908100827109 |
Real period |
R |
2.7844013392293 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000099795 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121849e1 |
Quadratic twists by: 13 |