Atkin-Lehner |
2+ 5+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
79040d |
Isogeny class |
Conductor |
79040 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
66560 |
Modular degree for the optimal curve |
Δ |
-3161600000 = -1 · 212 · 55 · 13 · 19 |
Discriminant |
Eigenvalues |
2+ -3 5+ 1 0 13+ -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-868,-10208] |
[a1,a2,a3,a4,a6] |
Generators |
[52:292:1] |
Generators of the group modulo torsion |
j |
-17657244864/771875 |
j-invariant |
L |
3.1083531118381 |
L(r)(E,1)/r! |
Ω |
0.43866279755693 |
Real period |
R |
3.542986930105 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999836024 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79040h1 39520e1 |
Quadratic twists by: -4 8 |