Atkin-Lehner |
2- 3- 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
62832bt |
Isogeny class |
Conductor |
62832 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-125511192576 = -1 · 212 · 34 · 7 · 11 · 173 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 11- 1 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,408,16884] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:102:1] |
Generators of the group modulo torsion |
j |
1829276567/30642381 |
j-invariant |
L |
5.3320489269094 |
L(r)(E,1)/r! |
Ω |
0.77694668323002 |
Real period |
R |
0.28595103123697 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000096 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3927b1 |
Quadratic twists by: -4 |