Atkin-Lehner |
2- 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
121380ba |
Isogeny class |
Conductor |
121380 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
9987840 |
Modular degree for the optimal curve |
Δ |
6.4011838327057E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -3 -6 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5122621,-2259385345] |
[a1,a2,a3,a4,a6] |
j |
28805226496/12403125 |
j-invariant |
L |
2.5042762174999 |
L(r)(E,1)/r! |
Ω |
0.10434482434999 |
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 |
121380p1 |
Quadratic twists by: 17 |