Atkin-Lehner |
3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
20475bf |
Isogeny class |
Conductor |
20475 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
131226759743625 = 37 · 53 · 75 · 134 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ 6 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-44735,-3588658] |
[a1,a2,a3,a4,a6] |
j |
108647414150813/1440074181 |
j-invariant |
L |
1.3141555151644 |
L(r)(E,1)/r! |
Ω |
0.32853887879109 |
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 |
6825l1 20475bh1 |
Quadratic twists by: -3 5 |