Atkin-Lehner |
3- 5+ 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
51675u |
Isogeny class |
Conductor |
51675 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-21255380859375 = -1 · 35 · 510 · 132 · 53 |
Discriminant |
Eigenvalues |
1 3- 5+ -4 2 13- 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,3999,-198977] |
[a1,a2,a3,a4,a6] |
j |
452807907839/1360344375 |
j-invariant |
L |
3.4870701152231 |
L(r)(E,1)/r! |
Ω |
0.34870701176328 |
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 |
10335c1 |
Quadratic twists by: 5 |