Atkin-Lehner |
2- 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
5978h |
Isogeny class |
Conductor |
5978 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
2520 |
Modular degree for the optimal curve |
Δ |
-2813222888 = -1 · 23 · 78 · 61 |
Discriminant |
Eigenvalues |
2- 1 0 7+ 0 -4 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-393,3905] |
[a1,a2,a3,a4,a6] |
Generators |
[230:915:8] |
Generators of the group modulo torsion |
j |
-1164625/488 |
j-invariant |
L |
6.5810191658979 |
L(r)(E,1)/r! |
Ω |
1.3426449629718 |
Real period |
R |
4.9015334264774 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
47824d1 53802m1 5978j1 |
Quadratic twists by: -4 -3 -7 |