Atkin-Lehner |
3+ 5+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
116865d |
Isogeny class |
Conductor |
116865 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
114960384 |
Modular degree for the optimal curve |
Δ |
-8.1641841651033E+26 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 7- -6 -4 7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-161883603,1586933132258] |
[a1,a2,a3,a4,a6] |
j |
-202606215767493783552/352560180843579625 |
j-invariant |
L |
0.17967223916957 |
L(r)(E,1)/r! |
Ω |
0.044918102462816 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116865l1 16695e1 |
Quadratic twists by: -3 -7 |