Atkin-Lehner |
2- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
31850bw |
Isogeny class |
Conductor |
31850 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
1182720 |
Modular degree for the optimal curve |
Δ |
-4.0305828329312E+19 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- -1 13- 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5645438,-5172408508] |
[a1,a2,a3,a4,a6] |
j |
-10824513276632329/21926008832 |
j-invariant |
L |
4.3089862241276 |
L(r)(E,1)/r! |
Ω |
0.048965752546911 |
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 |
1274d1 4550u1 |
Quadratic twists by: 5 -7 |