Atkin-Lehner |
3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
39675v |
Isogeny class |
Conductor |
39675 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
7603200 |
Modular degree for the optimal curve |
Δ |
4.6161572702573E+21 |
Discriminant |
Eigenvalues |
-1 3+ 5- -3 -5 1 -8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-201820388,-1103638534594] |
[a1,a2,a3,a4,a6] |
Generators |
[-8190:5107:1] |
Generators of the group modulo torsion |
j |
15721420060947505/79827687 |
j-invariant |
L |
1.1435164466232 |
L(r)(E,1)/r! |
Ω |
0.04005515602714 |
Real period |
R |
2.379045463058 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119025ci1 39675bd1 1725j1 |
Quadratic twists by: -3 5 -23 |