Atkin-Lehner |
2- 3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
19950cx |
Isogeny class |
Conductor |
19950 |
Conductor |
∏ cp |
456 |
Product of Tamagawa factors cp |
deg |
18385920 |
Modular degree for the optimal curve |
Δ |
3.5174482679672E+26 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 6 2 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-839920088,9325632009792] |
[a1,a2,a3,a4,a6] |
j |
4193895363953824558241038009/22511668914990297907200 |
j-invariant |
L |
6.1745534793003 |
L(r)(E,1)/r! |
Ω |
0.054162749818424 |
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 |
59850cf1 3990c1 |
Quadratic twists by: -3 5 |