Atkin-Lehner |
2+ 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
1650b |
Isogeny class |
Conductor |
1650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1600 |
Modular degree for the optimal curve |
Δ |
42768000000 = 210 · 35 · 56 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 11- -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1125,10125] |
[a1,a2,a3,a4,a6] |
j |
10091699281/2737152 |
j-invariant |
L |
1.0658126922822 |
L(r)(E,1)/r! |
Ω |
1.0658126922822 |
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 |
13200cf1 52800ce1 4950bf1 66c1 |
Quadratic twists by: -4 8 -3 5 |