Atkin-Lehner |
2- 5+ 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
56560l |
Isogeny class |
Conductor |
56560 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5184 |
Modular degree for the optimal curve |
Δ |
-282800 = -1 · 24 · 52 · 7 · 101 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 4 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1,-26] |
[a1,a2,a3,a4,a6] |
Generators |
[42:95:8] |
Generators of the group modulo torsion |
j |
-16384/17675 |
j-invariant |
L |
7.2784745567845 |
L(r)(E,1)/r! |
Ω |
1.3925361932711 |
Real period |
R |
2.6133879291279 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000066 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14140b1 |
Quadratic twists by: -4 |