Atkin-Lehner |
2- 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680ev |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
23224320 |
Modular degree for the optimal curve |
Δ |
-5.9006820995624E+25 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 0 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,97282653,13914343586] |
[a1,a2,a3,a4,a6] |
j |
7064514799444439/4094064000000 |
j-invariant |
L |
3.6018779967238 |
L(r)(E,1)/r! |
Ω |
0.037519557655557 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15210u1 40560bi1 9360bo1 |
Quadratic twists by: -4 -3 13 |