Atkin-Lehner |
2+ 3- 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
122976j |
Isogeny class |
Conductor |
122976 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
11475136512 = 212 · 38 · 7 · 61 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -4 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-184476,30497056] |
[a1,a2,a3,a4,a6] |
Generators |
[101:3591:1] [236:324:1] |
Generators of the group modulo torsion |
j |
232517612807488/3843 |
j-invariant |
L |
9.1347188280999 |
L(r)(E,1)/r! |
Ω |
0.91020893245658 |
Real period |
R |
5.0179241809058 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000004816 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122976bk4 40992q4 |
Quadratic twists by: -4 -3 |