Atkin-Lehner |
2- 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
10200be |
Isogeny class |
Conductor |
10200 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
6720 |
Modular degree for the optimal curve |
Δ |
5287680000 = 211 · 35 · 54 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 1 0 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1808,-28788] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:10:1] |
Generators of the group modulo torsion |
j |
510915650/4131 |
j-invariant |
L |
3.6780037923462 |
L(r)(E,1)/r! |
Ω |
0.7324731478657 |
Real period |
R |
1.67378322016 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20400bn1 81600ej1 30600bg1 10200s1 |
Quadratic twists by: -4 8 -3 5 |