Atkin-Lehner |
2- 3+ 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
29520bd |
Isogeny class |
Conductor |
29520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-7084800 = -1 · 28 · 33 · 52 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 -1 0 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,48,-4] |
[a1,a2,a3,a4,a6] |
Generators |
[2:10:1] |
Generators of the group modulo torsion |
j |
1769472/1025 |
j-invariant |
L |
6.4800101979077 |
L(r)(E,1)/r! |
Ω |
1.4028913657393 |
Real period |
R |
0.57737989877184 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7380c1 118080dc1 29520ba1 |
Quadratic twists by: -4 8 -3 |