Atkin-Lehner |
2- 7+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
45136d |
Isogeny class |
Conductor |
45136 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-4806803456 = -1 · 217 · 7 · 132 · 31 |
Discriminant |
Eigenvalues |
2- -1 1 7+ 2 13+ -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2920,61808] |
[a1,a2,a3,a4,a6] |
Generators |
[-62:26:1] [4:224:1] |
Generators of the group modulo torsion |
j |
-672451615081/1173536 |
j-invariant |
L |
8.1045512682773 |
L(r)(E,1)/r! |
Ω |
1.3704348732538 |
Real period |
R |
0.73923170542896 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5642f1 |
Quadratic twists by: -4 |