Atkin-Lehner |
2- 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
1710t |
Isogeny class |
Conductor |
1710 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
Δ |
1579014000000 = 27 · 37 · 56 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -4 -6 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-17987,931011] |
[a1,a2,a3,a4,a6] |
Generators |
[431:-8766:1] |
Generators of the group modulo torsion |
j |
882774443450089/2166000000 |
j-invariant |
L |
3.9774226731766 |
L(r)(E,1)/r! |
Ω |
0.8475743604402 |
Real period |
R |
0.055865623276023 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13680bj2 54720w2 570b2 8550k2 |
Quadratic twists by: -4 8 -3 5 |