Atkin-Lehner |
3- 7- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
55419h |
Isogeny class |
Conductor |
55419 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-15568139223 = -1 · 33 · 76 · 132 · 29 |
Discriminant |
Eigenvalues |
-1 3- 0 7- -4 13- -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,587,-2416] |
[a1,a2,a3,a4,a6] |
Generators |
[5:23:1] [11:68:1] |
Generators of the group modulo torsion |
j |
190109375/132327 |
j-invariant |
L |
7.4540567599829 |
L(r)(E,1)/r! |
Ω |
0.70185616560825 |
Real period |
R |
1.7700817549318 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1131a1 |
Quadratic twists by: -7 |