Atkin-Lehner |
2+ 7+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
40222b |
Isogeny class |
Conductor |
40222 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
665280 |
Modular degree for the optimal curve |
Δ |
-33859426217623552 = -1 · 235 · 73 · 132 · 17 |
Discriminant |
Eigenvalues |
2+ 2 2 7+ -4 13+ 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-603424,180384768] |
[a1,a2,a3,a4,a6] |
Generators |
[4771227375:-227561828628:1953125] |
Generators of the group modulo torsion |
j |
-143782446914980489057/200351634423808 |
j-invariant |
L |
6.4040500417967 |
L(r)(E,1)/r! |
Ω |
0.36759647121736 |
Real period |
R |
17.421413270341 |
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 |
40222w1 |
Quadratic twists by: 13 |