Atkin-Lehner |
2+ 3+ 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
61710j |
Isogeny class |
Conductor |
61710 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
4458240 |
Modular degree for the optimal curve |
Δ |
-4.8041172838974E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 3 11+ 3 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-9571597,11398786909] |
[a1,a2,a3,a4,a6] |
j |
-72861639994809235116611/36094044206592000 |
j-invariant |
L |
2.3798966085414 |
L(r)(E,1)/r! |
Ω |
0.19832471683023 |
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 |
61710bw1 |
Quadratic twists by: -11 |