Atkin-Lehner |
2+ 3- 5+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
115440t |
Isogeny class |
Conductor |
115440 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-52626440880 = -1 · 24 · 33 · 5 · 13 · 374 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,129,-10980] |
[a1,a2,a3,a4,a6] |
Generators |
[36:204:1] [1308:9008:27] |
Generators of the group modulo torsion |
j |
14723188736/3289152555 |
j-invariant |
L |
13.277226533892 |
L(r)(E,1)/r! |
Ω |
0.52841318194757 |
Real period |
R |
16.751066510396 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000175 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57720b1 |
Quadratic twists by: -4 |