Atkin-Lehner |
5+ 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
51205g |
Isogeny class |
Conductor |
51205 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
138600882759185 = 5 · 77 · 116 · 19 |
Discriminant |
Eigenvalues |
1 -2 5+ 7- 11+ 4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-22419,1159337] |
[a1,a2,a3,a4,a6] |
Generators |
[25:771:1] |
Generators of the group modulo torsion |
j |
10591472326681/1178088065 |
j-invariant |
L |
3.3218219302906 |
L(r)(E,1)/r! |
Ω |
0.56382048797521 |
Real period |
R |
2.9458152028246 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000024 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7315d1 |
Quadratic twists by: -7 |