Atkin-Lehner |
2+ 5- 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
121030n |
Isogeny class |
Conductor |
121030 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-174767320 = -1 · 23 · 5 · 72 · 13 · 193 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- -3 13+ 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-67,-699] |
[a1,a2,a3,a4,a6] |
Generators |
[189525:239196:15625] |
Generators of the group modulo torsion |
j |
-694769929/3566680 |
j-invariant |
L |
7.0425899906249 |
L(r)(E,1)/r! |
Ω |
0.75081516921729 |
Real period |
R |
9.3799249689277 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000053722 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121030c1 |
Quadratic twists by: -7 |