Atkin-Lehner |
2- 3- 5- 23+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
122130bw |
Isogeny class |
Conductor |
122130 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
6912000 |
Modular degree for the optimal curve |
Δ |
-1.2982917623672E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 2 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1034788,1685312799] |
[a1,a2,a3,a4,a6] |
Generators |
[-763:21621:1] |
Generators of the group modulo torsion |
j |
168093425861815890311/1780921484728704000 |
j-invariant |
L |
11.176132782739 |
L(r)(E,1)/r! |
Ω |
0.1124521055063 |
Real period |
R |
1.6564285635628 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006384 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40710e1 |
Quadratic twists by: -3 |