Atkin-Lehner |
2+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
31808h |
Isogeny class |
Conductor |
31808 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-7082242048 = -1 · 212 · 73 · 712 |
Discriminant |
Eigenvalues |
2+ 0 -4 7- -4 -2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,268,3680] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:32:1] [-2:56:1] |
Generators of the group modulo torsion |
j |
519718464/1729063 |
j-invariant |
L |
6.5743696513571 |
L(r)(E,1)/r! |
Ω |
0.93896498186185 |
Real period |
R |
1.1669532904768 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31808c1 15904c1 |
Quadratic twists by: -4 8 |