Atkin-Lehner |
3+ 5- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
22365b |
Isogeny class |
Conductor |
22365 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
8559644625 = 39 · 53 · 72 · 71 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- 4 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4929,134360] |
[a1,a2,a3,a4,a6] |
j |
672912250947/434875 |
j-invariant |
L |
3.8772798350776 |
L(r)(E,1)/r! |
Ω |
1.2924266116925 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22365a1 111825b1 |
Quadratic twists by: -3 5 |