Atkin-Lehner |
2+ 3+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
129888a |
Isogeny class |
Conductor |
129888 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
328704 |
Modular degree for the optimal curve |
Δ |
-6049449432576 = -1 · 29 · 39 · 114 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ -3 4 11+ 7 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10179,412614] |
[a1,a2,a3,a4,a6] |
Generators |
[73:242:1] |
Generators of the group modulo torsion |
j |
-11573848728/600281 |
j-invariant |
L |
6.9021393096255 |
L(r)(E,1)/r! |
Ω |
0.7469733599063 |
Real period |
R |
1.155017664501 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998620686 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129888b1 129888n1 |
Quadratic twists by: -4 -3 |