Atkin-Lehner |
2+ 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
121296be |
Isogeny class |
Conductor |
121296 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
3502080 |
Modular degree for the optimal curve |
Δ |
2.9156263646209E+19 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 -6 8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3143708,2128580652] |
[a1,a2,a3,a4,a6] |
Generators |
[116895:340158:125] |
Generators of the group modulo torsion |
j |
41593750000/352947 |
j-invariant |
L |
9.0322001757419 |
L(r)(E,1)/r! |
Ω |
0.21070841197136 |
Real period |
R |
7.1443122719442 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016661 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60648b1 121296i1 |
Quadratic twists by: -4 -19 |