Atkin-Lehner |
2+ 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
81600a |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
12135225600000000 = 214 · 38 · 58 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-230033,42209937] |
[a1,a2,a3,a4,a6] |
Generators |
[176:2673:1] |
Generators of the group modulo torsion |
j |
5258429611216/47403225 |
j-invariant |
L |
5.5229389079658 |
L(r)(E,1)/r! |
Ω |
0.40302964000772 |
Real period |
R |
3.4258887938055 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999979541 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
81600ht2 10200bg2 16320z2 |
Quadratic twists by: -4 8 5 |