Atkin-Lehner |
2+ 3- 5- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
113850ck |
Isogeny class |
Conductor |
113850 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1966080 |
Modular degree for the optimal curve |
Δ |
-1119901464000000000 = -1 · 212 · 37 · 59 · 112 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 11+ 4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-543492,162542416] |
[a1,a2,a3,a4,a6] |
j |
-12469414500269/786542592 |
j-invariant |
L |
2.1673556857356 |
L(r)(E,1)/r! |
Ω |
0.2709195101879 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37950ch1 113850fn1 |
Quadratic twists by: -3 5 |