Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
107800bw |
Isogeny class |
Conductor |
107800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
-5176556000000 = -1 · 28 · 56 · 76 · 11 |
Discriminant |
Eigenvalues |
2- -3 5+ 7- 11+ 0 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4900,-171500] |
[a1,a2,a3,a4,a6] |
Generators |
[84:98:1] |
Generators of the group modulo torsion |
j |
-27648/11 |
j-invariant |
L |
2.4677883289918 |
L(r)(E,1)/r! |
Ω |
0.27981766876962 |
Real period |
R |
2.2048181831127 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999706377 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4312f1 2200g1 |
Quadratic twists by: 5 -7 |