Atkin-Lehner |
2+ 3+ 5+ 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
23970a |
Isogeny class |
Conductor |
23970 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
7.6277621055381E+24 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 -4 -6 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3044677618,64662225582772] |
[a1,a2,a3,a4,a6] |
Generators |
[-1186197:288406505:27] |
Generators of the group modulo torsion |
j |
3121387280580531634348867359657769/7627762105538052096000000 |
j-invariant |
L |
1.4825439786926 |
L(r)(E,1)/r! |
Ω |
0.064143343789925 |
Real period |
R |
11.556491220259 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71910be2 119850ci2 |
Quadratic twists by: -3 5 |