Atkin-Lehner |
2+ 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
40222k |
Isogeny class |
Conductor |
40222 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
5100480 |
Modular degree for the optimal curve |
Δ |
-2.5416701733328E+22 |
Discriminant |
Eigenvalues |
2+ 2 -3 7- -4 13+ 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,7097321,-2420081451] |
[a1,a2,a3,a4,a6] |
j |
8191187117050762943/5265735962066944 |
j-invariant |
L |
0.68280713561745 |
L(r)(E,1)/r! |
Ω |
0.068280713553533 |
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 |
3094d1 |
Quadratic twists by: 13 |