Atkin-Lehner |
2- 5+ 17- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
121040p |
Isogeny class |
Conductor |
121040 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1204224 |
Modular degree for the optimal curve |
Δ |
6029282902937600 = 212 · 52 · 174 · 893 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 4 -4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-242696,-45948620] |
[a1,a2,a3,a4,a6] |
Generators |
[-281:374:1] |
Generators of the group modulo torsion |
j |
385969875028168969/1471992896225 |
j-invariant |
L |
4.9731321839175 |
L(r)(E,1)/r! |
Ω |
0.2151460461083 |
Real period |
R |
2.8893931897565 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000041203 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7565a1 |
Quadratic twists by: -4 |