Atkin-Lehner |
2+ 3- 5+ 7+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
64890m |
Isogeny class |
Conductor |
64890 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
432640 |
Modular degree for the optimal curve |
Δ |
-4692746899159200 = -1 · 25 · 319 · 52 · 72 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -1 2 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,29070,-2694924] |
[a1,a2,a3,a4,a6] |
Generators |
[633:16086:1] |
Generators of the group modulo torsion |
j |
3726686632324319/6437238544800 |
j-invariant |
L |
4.0970620342215 |
L(r)(E,1)/r! |
Ω |
0.22804525929562 |
Real period |
R |
1.1228752480842 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001282 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21630bf1 |
Quadratic twists by: -3 |