Atkin-Lehner |
2- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
5978j |
Isogeny class |
Conductor |
5978 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
360 |
Modular degree for the optimal curve |
Δ |
-23912 = -1 · 23 · 72 · 61 |
Discriminant |
Eigenvalues |
2- -1 0 7- 0 4 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8,-15] |
[a1,a2,a3,a4,a6] |
Generators |
[3:-1:1] |
Generators of the group modulo torsion |
j |
-1164625/488 |
j-invariant |
L |
4.9150127439937 |
L(r)(E,1)/r! |
Ω |
1.3899511752683 |
Real period |
R |
1.178701533178 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47824g1 53802o1 5978h1 |
Quadratic twists by: -4 -3 -7 |