Atkin-Lehner |
2- 3- 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
22512r |
Isogeny class |
Conductor |
22512 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-2930460976251648 = -1 · 28 · 320 · 72 · 67 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 0 0 5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,811,-2604225] |
[a1,a2,a3,a4,a6] |
Generators |
[979:30618:1] |
Generators of the group modulo torsion |
j |
230149849088/11447113188483 |
j-invariant |
L |
5.1226015436701 |
L(r)(E,1)/r! |
Ω |
0.20795992252135 |
Real period |
R |
0.30790797822741 |
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 |
5628c1 90048bf1 67536bk1 |
Quadratic twists by: -4 8 -3 |