Atkin-Lehner |
2- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
71944b |
Isogeny class |
Conductor |
71944 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
760320 |
Modular degree for the optimal curve |
Δ |
-62708931061495808 = -1 · 211 · 17 · 239 |
Discriminant |
Eigenvalues |
2- 1 -4 -1 -6 2 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,33680,-11799776] |
[a1,a2,a3,a4,a6] |
Generators |
[72654:1326203:216] |
Generators of the group modulo torsion |
j |
13935742/206839 |
j-invariant |
L |
2.9546418524591 |
L(r)(E,1)/r! |
Ω |
0.1710596415751 |
Real period |
R |
4.3181457428501 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3128c1 |
Quadratic twists by: -23 |