Atkin-Lehner |
2- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
47824g |
Isogeny class |
Conductor |
47824 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-91111989248 = -1 · 213 · 72 · 613 |
Discriminant |
Eigenvalues |
2- 1 0 7- 0 4 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,992,-7820] |
[a1,a2,a3,a4,a6] |
Generators |
[2244:21862:27] |
Generators of the group modulo torsion |
j |
537359375/453962 |
j-invariant |
L |
7.2466282807453 |
L(r)(E,1)/r! |
Ω |
0.59205077851283 |
Real period |
R |
6.1199381402322 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5978j2 47824d2 |
Quadratic twists by: -4 -7 |