Atkin-Lehner |
2- 3+ 7+ 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
34314o |
Isogeny class |
Conductor |
34314 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
27382572 = 22 · 32 · 72 · 192 · 43 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 6 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-909,10167] |
[a1,a2,a3,a4,a6] |
Generators |
[15:6:1] |
Generators of the group modulo torsion |
j |
83070193517137/27382572 |
j-invariant |
L |
6.6596894543672 |
L(r)(E,1)/r! |
Ω |
2.0653823053368 |
Real period |
R |
0.80610856367348 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102942k2 |
Quadratic twists by: -3 |