Atkin-Lehner |
3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
124215cp |
Isogeny class |
Conductor |
124215 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
9434880 |
Modular degree for the optimal curve |
Δ |
-1.8569096684203E+21 |
Discriminant |
Eigenvalues |
1 3- 5- 7+ -3 13- -1 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-18383993,30408685283] |
[a1,a2,a3,a4,a6] |
j |
-11240062477/30375 |
j-invariant |
L |
4.4633749870796 |
L(r)(E,1)/r! |
Ω |
0.14877913039899 |
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 |
124215s1 124215bw1 |
Quadratic twists by: -7 13 |