Atkin-Lehner |
2+ 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
34650b |
Isogeny class |
Conductor |
34650 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
11718876015000000 = 26 · 33 · 57 · 72 · 116 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 11- -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-113442,13781716] |
[a1,a2,a3,a4,a6] |
Generators |
[948:84226:27] [-301:4688:1] |
Generators of the group modulo torsion |
j |
382704614800227/27778076480 |
j-invariant |
L |
6.473412118769 |
L(r)(E,1)/r! |
Ω |
0.39404711296837 |
Real period |
R |
0.34225032498882 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34650ck4 6930t2 |
Quadratic twists by: -3 5 |