Atkin-Lehner |
2+ 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
19992o |
Isogeny class |
Conductor |
19992 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-512104705588224 = -1 · 210 · 36 · 79 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 0 6 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-22752,1704240] |
[a1,a2,a3,a4,a6] |
Generators |
[108:720:1] |
Generators of the group modulo torsion |
j |
-31522396/12393 |
j-invariant |
L |
7.3994041055734 |
L(r)(E,1)/r! |
Ω |
0.49034536828199 |
Real period |
R |
2.5150314398123 |
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 |
39984d1 59976bo1 19992i1 |
Quadratic twists by: -4 -3 -7 |