Atkin-Lehner |
2- 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
10140d |
Isogeny class |
Conductor |
10140 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
262080 |
Modular degree for the optimal curve |
Δ |
-8.0033123095193E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 -1 13+ -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,32899,-430425399] |
[a1,a2,a3,a4,a6] |
j |
3186827264/64769371875 |
j-invariant |
L |
0.53345248735956 |
L(r)(E,1)/r! |
Ω |
0.088908747893261 |
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 |
40560cg1 30420v1 50700bb1 780b1 |
Quadratic twists by: -4 -3 5 13 |