Atkin-Lehner |
3+ 5- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
56265i |
Isogeny class |
Conductor |
56265 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
343200 |
Modular degree for the optimal curve |
Δ |
-976933097596665 = -1 · 35 · 5 · 1110 · 31 |
Discriminant |
Eigenvalues |
1 3+ 5- 0 11- -3 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-402932,98289261] |
[a1,a2,a3,a4,a6] |
j |
-278929098481/37665 |
j-invariant |
L |
0.47704043684959 |
L(r)(E,1)/r! |
Ω |
0.4770404361356 |
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 |
56265l1 |
Quadratic twists by: -11 |