Atkin-Lehner |
2- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
1708b |
Isogeny class |
Conductor |
1708 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-406749952 = -1 · 28 · 7 · 613 |
Discriminant |
Eigenvalues |
2- -2 0 7- 6 2 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1093,-14313] |
[a1,a2,a3,a4,a6] |
j |
-564600832000/1588867 |
j-invariant |
L |
1.2451723457031 |
L(r)(E,1)/r! |
Ω |
0.41505744856769 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6832h2 27328h2 15372g2 42700e2 |
Quadratic twists by: -4 8 -3 5 |