Atkin-Lehner |
2+ 3+ 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
115056a |
Isogeny class |
Conductor |
115056 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
68442672384 = 28 · 39 · 172 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 1 -1 -5 -6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6372,195372] |
[a1,a2,a3,a4,a6] |
Generators |
[81:459:1] |
Generators of the group modulo torsion |
j |
5678318592/13583 |
j-invariant |
L |
4.9681582157917 |
L(r)(E,1)/r! |
Ω |
1.1007785171894 |
Real period |
R |
1.1283282999326 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008416 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57528g1 115056b1 |
Quadratic twists by: -4 -3 |