Atkin-Lehner |
2- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
30380c |
Isogeny class |
Conductor |
30380 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
-4668312320 = -1 · 28 · 5 · 76 · 31 |
Discriminant |
Eigenvalues |
2- 3 5+ 7- 2 -2 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,392,-1372] |
[a1,a2,a3,a4,a6] |
j |
221184/155 |
j-invariant |
L |
4.6512012823879 |
L(r)(E,1)/r! |
Ω |
0.77520021373047 |
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 |
121520bq1 620c1 |
Quadratic twists by: -4 -7 |