Atkin-Lehner |
2+ 3+ 11+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
77418b |
Isogeny class |
Conductor |
77418 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
45312 |
Modular degree for the optimal curve |
Δ |
1292725764 = 22 · 33 · 113 · 17 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 11+ 0 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1368,-19060] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:16:1] |
Generators of the group modulo torsion |
j |
10490514850971/47878732 |
j-invariant |
L |
3.3491893554207 |
L(r)(E,1)/r! |
Ω |
0.78520385375695 |
Real period |
R |
2.1326877978256 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999836 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77418s1 |
Quadratic twists by: -3 |