Atkin-Lehner |
2+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
42350bk |
Isogeny class |
Conductor |
42350 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1254528 |
Modular degree for the optimal curve |
Δ |
2.2775133793646E+19 |
Discriminant |
Eigenvalues |
2+ 1 5- 7+ 11- -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2569801,1568686348] |
[a1,a2,a3,a4,a6] |
Generators |
[827:2626:1] |
Generators of the group modulo torsion |
j |
115775077825/1404928 |
j-invariant |
L |
4.3312712861425 |
L(r)(E,1)/r! |
Ω |
0.21480202694456 |
Real period |
R |
3.3606691610807 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42350ch1 42350dc1 |
Quadratic twists by: 5 -11 |