Atkin-Lehner |
3- 5- 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
110715u |
Isogeny class |
Conductor |
110715 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
1230930407953125 = 36 · 56 · 116 · 61 |
Discriminant |
Eigenvalues |
1 3- 5- 2 11- 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-30858,-1228757] |
[a1,a2,a3,a4,a6] |
Generators |
[-133:792:1] |
Generators of the group modulo torsion |
j |
1834216913521/694828125 |
j-invariant |
L |
12.867388051667 |
L(r)(E,1)/r! |
Ω |
0.37185285044972 |
Real period |
R |
1.9224133718495 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999957253 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
915d2 |
Quadratic twists by: -11 |