Atkin-Lehner |
2- 3+ 5+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
49350bq |
Isogeny class |
Conductor |
49350 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
-16124030748000000 = -1 · 28 · 36 · 56 · 76 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -6 4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-27888,6355281] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:2717:1] |
Generators of the group modulo torsion |
j |
-153517103853625/1031937967872 |
j-invariant |
L |
6.2121491107081 |
L(r)(E,1)/r! |
Ω |
0.33717275283981 |
Real period |
R |
1.1515145163661 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000028 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1974c1 |
Quadratic twists by: 5 |