Atkin-Lehner |
3- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
28899r |
Isogeny class |
Conductor |
28899 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
-78414821170815051 = -1 · 38 · 136 · 195 |
Discriminant |
Eigenvalues |
-2 3- 1 -3 -3 13+ -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-6677697,6641850114] |
[a1,a2,a3,a4,a6] |
Generators |
[1703:14449:1] |
Generators of the group modulo torsion |
j |
-9358714467168256/22284891 |
j-invariant |
L |
1.9975662796414 |
L(r)(E,1)/r! |
Ω |
0.29678873969545 |
Real period |
R |
0.33652999802 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9633p2 171c2 |
Quadratic twists by: -3 13 |