Atkin-Lehner |
2- 5- 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
51920u |
Isogeny class |
Conductor |
51920 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
-8710730547200000 = -1 · 232 · 55 · 11 · 59 |
Discriminant |
Eigenvalues |
2- 1 5- 2 11+ 4 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,22000,-4303852] |
[a1,a2,a3,a4,a6] |
j |
287482932197999/2126643200000 |
j-invariant |
L |
2.0507161886476 |
L(r)(E,1)/r! |
Ω |
0.20507161893233 |
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 |
6490g1 |
Quadratic twists by: -4 |