Atkin-Lehner |
2+ 3- 5+ 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
79050t |
Isogeny class |
Conductor |
79050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
129515520000000 = 220 · 3 · 57 · 17 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-12651,10198] |
[a1,a2,a3,a4,a6] |
Generators |
[112:-19:1] [-1176:19262:27] |
Generators of the group modulo torsion |
j |
14329429649569/8288993280 |
j-invariant |
L |
9.3672328747971 |
L(r)(E,1)/r! |
Ω |
0.49583074380614 |
Real period |
R |
18.891996899843 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999622 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15810n1 |
Quadratic twists by: 5 |