Atkin-Lehner |
2- 3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
81900bh |
Isogeny class |
Conductor |
81900 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1382400 |
Modular degree for the optimal curve |
Δ |
-3615431135793750000 = -1 · 24 · 310 · 58 · 73 · 134 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 5 13+ -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-314625,113943125] |
[a1,a2,a3,a4,a6] |
j |
-755954840320/793510263 |
j-invariant |
L |
2.7219654176912 |
L(r)(E,1)/r! |
Ω |
0.22683045643345 |
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 |
27300h1 81900be1 |
Quadratic twists by: -3 5 |