Atkin-Lehner |
2- 3- 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
62712g |
Isogeny class |
Conductor |
62712 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-240315137307648 = -1 · 210 · 313 · 133 · 67 |
Discriminant |
Eigenvalues |
2- 3- -4 4 1 13+ 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11307,877750] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:1116:1] |
Generators of the group modulo torsion |
j |
-214160022436/321924213 |
j-invariant |
L |
5.912410411273 |
L(r)(E,1)/r! |
Ω |
0.49970554711875 |
Real period |
R |
2.95794715785 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997053 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125424g1 20904f1 |
Quadratic twists by: -4 -3 |