Atkin-Lehner |
2+ 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
28224bw |
Isogeny class |
Conductor |
28224 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
1372515920491968 = 26 · 312 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -2 0 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-31899,1277332] |
[a1,a2,a3,a4,a6] |
Generators |
[38090:342873:1000] |
Generators of the group modulo torsion |
j |
1906624/729 |
j-invariant |
L |
6.1111688027309 |
L(r)(E,1)/r! |
Ω |
0.43854246778128 |
Real period |
R |
6.9675906573533 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28224bt1 14112cc2 9408bh1 28224ch1 |
Quadratic twists by: -4 8 -3 -7 |