Atkin-Lehner |
2- 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
119952do |
Isogeny class |
Conductor |
119952 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
23400750514176 = 218 · 37 · 74 · 17 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ 4 -5 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7203,34594] |
[a1,a2,a3,a4,a6] |
Generators |
[-73:414:1] |
Generators of the group modulo torsion |
j |
5764801/3264 |
j-invariant |
L |
6.9473268717344 |
L(r)(E,1)/r! |
Ω |
0.58122777379788 |
Real period |
R |
2.9882118547206 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999965327 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14994m1 39984cv1 119952gd1 |
Quadratic twists by: -4 -3 -7 |