Atkin-Lehner |
2- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
3100c |
Isogeny class |
Conductor |
3100 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1728 |
Modular degree for the optimal curve |
Δ |
-620000000 = -1 · 28 · 57 · 31 |
Discriminant |
Eigenvalues |
2- 3 5+ 2 2 -2 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,200,500] |
[a1,a2,a3,a4,a6] |
j |
221184/155 |
j-invariant |
L |
4.1148878054044 |
L(r)(E,1)/r! |
Ω |
1.0287219513511 |
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 |
12400y1 49600o1 27900c1 620c1 |
Quadratic twists by: -4 8 -3 5 |