Atkin-Lehner |
2- 3+ 5- 7+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
64890bv |
Isogeny class |
Conductor |
64890 |
Conductor |
∏ cp |
230 |
Product of Tamagawa factors cp |
deg |
1192320 |
Modular degree for the optimal curve |
Δ |
-372020163379200000 = -1 · 223 · 39 · 55 · 7 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -6 -2 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-191837,43717861] |
[a1,a2,a3,a4,a6] |
Generators |
[-209:8744:1] |
Generators of the group modulo torsion |
j |
-39666823140606507/18900582400000 |
j-invariant |
L |
9.3545704337395 |
L(r)(E,1)/r! |
Ω |
0.28143166504048 |
Real period |
R |
0.14451836951659 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000516 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64890b1 |
Quadratic twists by: -3 |