Atkin-Lehner |
3- 5+ 29+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
115275n |
Isogeny class |
Conductor |
115275 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
2515968 |
Modular degree for the optimal curve |
Δ |
-1.7254354119873E+19 |
Discriminant |
Eigenvalues |
0 3- 5+ -3 4 -1 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,347717,183724969] |
[a1,a2,a3,a4,a6] |
Generators |
[1613:70312:1] |
Generators of the group modulo torsion |
j |
297563877397200896/1104278663671875 |
j-invariant |
L |
5.4301876718407 |
L(r)(E,1)/r! |
Ω |
0.15573424058594 |
Real period |
R |
1.2452963040634 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999884763 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23055a1 |
Quadratic twists by: 5 |