Atkin-Lehner |
2- 3+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
71232ch |
Isogeny class |
Conductor |
71232 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
958464 |
Modular degree for the optimal curve |
Δ |
-1268932653638221824 = -1 · 231 · 34 · 72 · 533 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- -1 0 -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,173439,46465569] |
[a1,a2,a3,a4,a6] |
Generators |
[437:14336:1] |
Generators of the group modulo torsion |
j |
2201007734483039/4840593924096 |
j-invariant |
L |
4.2562226706205 |
L(r)(E,1)/r! |
Ω |
0.18900769992025 |
Real period |
R |
1.4074237028191 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001154 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71232y1 17808bd1 |
Quadratic twists by: -4 8 |