Atkin-Lehner |
2+ 5- 37+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
79550d |
Isogeny class |
Conductor |
79550 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
714240 |
Modular degree for the optimal curve |
Δ |
-10829136528125000 = -1 · 23 · 58 · 374 · 432 |
Discriminant |
Eigenvalues |
2+ 1 5- 0 -5 4 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-455451,118374798] |
[a1,a2,a3,a4,a6] |
Generators |
[402:336:1] |
Generators of the group modulo torsion |
j |
-26747751922499785/27722589512 |
j-invariant |
L |
5.1633617445567 |
L(r)(E,1)/r! |
Ω |
0.40303880950982 |
Real period |
R |
1.0675898581793 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999975454 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79550n1 |
Quadratic twists by: 5 |