Atkin-Lehner |
2+ 3+ 5+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
115440a |
Isogeny class |
Conductor |
115440 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
68096 |
Modular degree for the optimal curve |
Δ |
-6732460800 = -1 · 28 · 37 · 52 · 13 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 1 13+ -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-801,-9315] |
[a1,a2,a3,a4,a6] |
Generators |
[5194:132115:8] |
Generators of the group modulo torsion |
j |
-222291764224/26298675 |
j-invariant |
L |
6.3130151066582 |
L(r)(E,1)/r! |
Ω |
0.4456986906817 |
Real period |
R |
7.0821557968616 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999602854 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57720h1 |
Quadratic twists by: -4 |