Atkin-Lehner |
2+ 5+ 23- 41- |
Signs for the Atkin-Lehner involutions |
Class |
75440b |
Isogeny class |
Conductor |
75440 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
-247443200 = -1 · 28 · 52 · 23 · 412 |
Discriminant |
Eigenvalues |
2+ 0 5+ -2 -2 2 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,137,438] |
[a1,a2,a3,a4,a6] |
Generators |
[1:24:1] |
Generators of the group modulo torsion |
j |
1110824496/966575 |
j-invariant |
L |
4.4504553629097 |
L(r)(E,1)/r! |
Ω |
1.1406849854269 |
Real period |
R |
1.9507819510433 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000261 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37720a1 |
Quadratic twists by: -4 |