Atkin-Lehner |
2- 5+ 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
103400bd |
Isogeny class |
Conductor |
103400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
382080 |
Modular degree for the optimal curve |
Δ |
-485980000000000 = -1 · 211 · 510 · 11 · 472 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 11- 3 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-20208,-1538912] |
[a1,a2,a3,a4,a6] |
Generators |
[29560882:1208143507:17576] |
Generators of the group modulo torsion |
j |
-45633650/24299 |
j-invariant |
L |
4.715279956217 |
L(r)(E,1)/r! |
Ω |
0.19533759050584 |
Real period |
R |
12.069566150302 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000033329 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103400t1 |
Quadratic twists by: 5 |