Atkin-Lehner |
2+ 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680j |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
13547520 |
Modular degree for the optimal curve |
Δ |
-7.0550186071661E+23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -3 -3 13+ 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2537028,40381765164] |
[a1,a2,a3,a4,a6] |
j |
74251994112/29007265625 |
j-invariant |
L |
1.966252879538 |
L(r)(E,1)/r! |
Ω |
0.070223331118061 |
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 |
60840e1 121680e1 9360d1 |
Quadratic twists by: -4 -3 13 |