Atkin-Lehner |
2- 3+ 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
39360bw |
Isogeny class |
Conductor |
39360 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-26117406720 = -1 · 219 · 35 · 5 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 -2 -4 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1,-7775] |
[a1,a2,a3,a4,a6] |
Generators |
[21:32:1] |
Generators of the group modulo torsion |
j |
-1/99630 |
j-invariant |
L |
2.8490301991568 |
L(r)(E,1)/r! |
Ω |
0.54545625944514 |
Real period |
R |
1.305801404705 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39360bd1 9840bb1 118080fn1 |
Quadratic twists by: -4 8 -3 |