Atkin-Lehner |
2- 3- 5+ 19+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
114570bg |
Isogeny class |
Conductor |
114570 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
22383770040 = 23 · 38 · 5 · 19 · 672 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -4 4 8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-36518,2695101] |
[a1,a2,a3,a4,a6] |
Generators |
[111:-49:1] |
Generators of the group modulo torsion |
j |
7387644477133081/30704760 |
j-invariant |
L |
12.900027455003 |
L(r)(E,1)/r! |
Ω |
1.0607694346776 |
Real period |
R |
2.0268349571935 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019101 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38190c2 |
Quadratic twists by: -3 |