Atkin-Lehner |
3- 5+ 7+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
32445g |
Isogeny class |
Conductor |
32445 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
24000 |
Modular degree for the optimal curve |
Δ |
-11497696875 = -1 · 36 · 55 · 72 · 103 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ -6 -4 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,405,3996] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:18:1] |
Generators of the group modulo torsion |
j |
10063705679/15771875 |
j-invariant |
L |
3.9001846333308 |
L(r)(E,1)/r! |
Ω |
0.86770828552757 |
Real period |
R |
2.247405434742 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3605b1 |
Quadratic twists by: -3 |