Atkin-Lehner |
2- 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
30420b |
Isogeny class |
Conductor |
30420 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-1355367967200000 = -1 · 28 · 33 · 55 · 137 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 1 13+ -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,8112,-1748812] |
[a1,a2,a3,a4,a6] |
j |
1769472/40625 |
j-invariant |
L |
1.8674656629383 |
L(r)(E,1)/r! |
Ω |
0.2334332078671 |
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 |
121680cg1 30420d1 2340c1 |
Quadratic twists by: -4 -3 13 |