Atkin-Lehner |
2- 7+ 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
75152j |
Isogeny class |
Conductor |
75152 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
8248063295954944 = 213 · 7 · 119 · 61 |
Discriminant |
Eigenvalues |
2- -1 -3 7+ 11- -4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2018912,1104804736] |
[a1,a2,a3,a4,a6] |
Generators |
[-1608:13816:1] [-46:34606:1] |
Generators of the group modulo torsion |
j |
222185722210390707553/2013687328114 |
j-invariant |
L |
6.7680126691 |
L(r)(E,1)/r! |
Ω |
0.37330109094936 |
Real period |
R |
0.50361586525251 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000068 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9394l3 |
Quadratic twists by: -4 |