Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600el |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
14117880000000 = 29 · 3 · 57 · 76 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-196408,33568312] |
[a1,a2,a3,a4,a6] |
Generators |
[657:13700:1] |
Generators of the group modulo torsion |
j |
890277128/15 |
j-invariant |
L |
6.0322744066302 |
L(r)(E,1)/r! |
Ω |
0.64603856749439 |
Real period |
R |
4.6686642918329 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000040141 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117600co4 23520n4 2400ba2 |
Quadratic twists by: -4 5 -7 |