Atkin-Lehner |
2+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
34496f |
Isogeny class |
Conductor |
34496 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
6701933658112 = 221 · 74 · 113 |
Discriminant |
Eigenvalues |
2+ -1 0 7+ 11- 1 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17313,-862175] |
[a1,a2,a3,a4,a6] |
Generators |
[313:-4928:1] [-72:77:1] |
Generators of the group modulo torsion |
j |
911871625/10648 |
j-invariant |
L |
7.4021015849542 |
L(r)(E,1)/r! |
Ω |
0.41649609510722 |
Real period |
R |
0.49367553581137 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34496bz2 1078a2 34496bg2 |
Quadratic twists by: -4 8 -7 |