Atkin-Lehner |
7- 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
31801b |
Isogeny class |
Conductor |
31801 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10800 |
Modular degree for the optimal curve |
Δ |
-349811 = -1 · 72 · 112 · 59 |
Discriminant |
Eigenvalues |
1 3 -3 7- 11+ 4 -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-121,-484] |
[a1,a2,a3,a4,a6] |
Generators |
[16236:55000:729] |
Generators of the group modulo torsion |
j |
-4016993337/7139 |
j-invariant |
L |
9.411175386017 |
L(r)(E,1)/r! |
Ω |
0.71938080372586 |
Real period |
R |
6.541163829556 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31801a1 |
Quadratic twists by: -7 |