Atkin-Lehner |
2+ 5- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
128960p |
Isogeny class |
Conductor |
128960 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-619652800 = -1 · 26 · 52 · 13 · 313 |
Discriminant |
Eigenvalues |
2+ 2 5- -4 -3 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,155,-993] |
[a1,a2,a3,a4,a6] |
Generators |
[42:279:1] |
Generators of the group modulo torsion |
j |
6393430016/9682075 |
j-invariant |
L |
8.2575519325224 |
L(r)(E,1)/r! |
Ω |
0.85983638302556 |
Real period |
R |
1.6006052583666 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000141069 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128960bh1 2015b1 |
Quadratic twists by: -4 8 |