Atkin-Lehner |
3+ 7+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
78771d |
Isogeny class |
Conductor |
78771 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
288000 |
Modular degree for the optimal curve |
Δ |
-3015484769753379 = -1 · 33 · 75 · 118 · 31 |
Discriminant |
Eigenvalues |
0 3+ -1 7+ 11- -3 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-8631,2662868] |
[a1,a2,a3,a4,a6] |
Generators |
[136:1996:1] |
Generators of the group modulo torsion |
j |
-40142209024/1702162539 |
j-invariant |
L |
2.892314062933 |
L(r)(E,1)/r! |
Ω |
0.37425183611132 |
Real period |
R |
1.9320640439533 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999972212 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7161d1 |
Quadratic twists by: -11 |