Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
1650s |
Isogeny class |
Conductor |
1650 |
Conductor |
∏ cp |
50 |
Product of Tamagawa factors cp |
deg |
1200 |
Modular degree for the optimal curve |
Δ |
-68428800 = -1 · 210 · 35 · 52 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 11- 4 -7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-903,10377] |
[a1,a2,a3,a4,a6] |
j |
-3257444411545/2737152 |
j-invariant |
L |
3.8781629142203 |
L(r)(E,1)/r! |
Ω |
1.9390814571102 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
5 |
Number of elements in the torsion subgroup |
Twists |
13200bl1 52800n1 4950k1 1650d2 |
Quadratic twists by: -4 8 -3 5 |