Atkin-Lehner |
2- 5+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
129200bd |
Isogeny class |
Conductor |
129200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3386880 |
Modular degree for the optimal curve |
Δ |
-2.3759910912109E+20 |
Discriminant |
Eigenvalues |
2- 0 5+ 1 -2 1 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8275325,9192710875] |
[a1,a2,a3,a4,a6] |
j |
-250691079491614289664/950396436484375 |
j-invariant |
L |
0.70736914826262 |
L(r)(E,1)/r! |
Ω |
0.17684248283285 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32300c1 25840u1 |
Quadratic twists by: -4 5 |