Atkin-Lehner |
3+ 5- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
31605l |
Isogeny class |
Conductor |
31605 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
2217600 |
Modular degree for the optimal curve |
Δ |
1024855512778125 = 33 · 55 · 710 · 43 |
Discriminant |
Eigenvalues |
0 3+ 5- 7- 6 4 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-94107995,-351357416194] |
[a1,a2,a3,a4,a6] |
j |
326304361537850343424/3628125 |
j-invariant |
L |
2.1812499677658 |
L(r)(E,1)/r! |
Ω |
0.048472221505861 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94815s1 31605p1 |
Quadratic twists by: -3 -7 |