Atkin-Lehner |
2- 3+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
71232cd |
Isogeny class |
Conductor |
71232 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11264 |
Modular degree for the optimal curve |
Δ |
-1923264 = -1 · 26 · 34 · 7 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ -3 0 -4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,21,-63] |
[a1,a2,a3,a4,a6] |
Generators |
[24:117:1] |
Generators of the group modulo torsion |
j |
15252992/30051 |
j-invariant |
L |
5.9571130002802 |
L(r)(E,1)/r! |
Ω |
1.3722079818202 |
Real period |
R |
2.1706305015838 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000955 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71232dk1 35616v1 |
Quadratic twists by: -4 8 |