Atkin-Lehner |
3+ 23+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
115989d |
Isogeny class |
Conductor |
115989 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
17330208 |
Modular degree for the optimal curve |
Δ |
2.3717014549524E+22 |
Discriminant |
Eigenvalues |
-2 3+ -2 4 1 -2 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-46016254,119934225300] |
[a1,a2,a3,a4,a6] |
j |
1349542769078272/2970223749 |
j-invariant |
L |
0.4807139396013 |
L(r)(E,1)/r! |
Ω |
0.1201785641139 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115989h1 |
Quadratic twists by: 41 |