Atkin-Lehner |
2+ 7+ 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
6622c |
Isogeny class |
Conductor |
6622 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
22848 |
Modular degree for the optimal curve |
Δ |
-303675834920612 = -1 · 22 · 72 · 117 · 433 |
Discriminant |
Eigenvalues |
2+ -1 2 7+ 11- 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,7551,-796343] |
[a1,a2,a3,a4,a6] |
Generators |
[76:435:1] |
Generators of the group modulo torsion |
j |
47604417228580967/303675834920612 |
j-invariant |
L |
2.74121381828 |
L(r)(E,1)/r! |
Ω |
0.27238632967983 |
Real period |
R |
0.11980593106499 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52976x1 59598t1 46354r1 72842u1 |
Quadratic twists by: -4 -3 -7 -11 |