Atkin-Lehner |
2+ 3- 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
42408f |
Isogeny class |
Conductor |
42408 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
9047421785088 = 210 · 37 · 194 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 -4 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18939,-992698] |
[a1,a2,a3,a4,a6] |
Generators |
[-232834:159795:2744] |
Generators of the group modulo torsion |
j |
1006392425188/12119853 |
j-invariant |
L |
6.6955807557509 |
L(r)(E,1)/r! |
Ω |
0.40726446921117 |
Real period |
R |
8.2201876936589 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84816e4 14136b3 |
Quadratic twists by: -4 -3 |