Atkin-Lehner |
2- 3- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
116928df |
Isogeny class |
Conductor |
116928 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-30032068117266432 = -1 · 230 · 39 · 72 · 29 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 0 -2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-76620,11668624] |
[a1,a2,a3,a4,a6] |
Generators |
[-292:3024:1] |
Generators of the group modulo torsion |
j |
-260305116625/157151232 |
j-invariant |
L |
7.1668637741147 |
L(r)(E,1)/r! |
Ω |
0.34440841308039 |
Real period |
R |
2.6011500853448 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999853417 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116928bw1 29232bc1 38976bq1 |
Quadratic twists by: -4 8 -3 |