Atkin-Lehner |
3- 23- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
115989l |
Isogeny class |
Conductor |
115989 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
8345025881526969 = 34 · 232 · 417 |
Discriminant |
Eigenvalues |
1 3- -2 -2 -2 2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-103417,-12031105] |
[a1,a2,a3,a4,a6] |
Generators |
[45974:3456679:8] |
Generators of the group modulo torsion |
j |
25750777177/1756809 |
j-invariant |
L |
5.9160126073497 |
L(r)(E,1)/r! |
Ω |
0.26736958156019 |
Real period |
R |
2.7658403529426 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999741741 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2829d1 |
Quadratic twists by: 41 |