Atkin-Lehner |
3- 5- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
22365m |
Isogeny class |
Conductor |
22365 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-3215527875 = -1 · 36 · 53 · 7 · 712 |
Discriminant |
Eigenvalues |
2 3- 5- 7- 5 -3 -7 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,123,2677] |
[a1,a2,a3,a4,a6] |
j |
282300416/4410875 |
j-invariant |
L |
6.3164613491705 |
L(r)(E,1)/r! |
Ω |
1.0527435581951 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2485b1 111825k1 |
Quadratic twists by: -3 5 |