Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
9100g |
Isogeny class |
Conductor |
9100 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3360 |
Modular degree for the optimal curve |
Δ |
-364000000 = -1 · 28 · 56 · 7 · 13 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- -4 13+ 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-133,1137] |
[a1,a2,a3,a4,a6] |
Generators |
[48:321:1] |
Generators of the group modulo torsion |
j |
-65536/91 |
j-invariant |
L |
6.0560140880493 |
L(r)(E,1)/r! |
Ω |
1.5303892761137 |
Real period |
R |
3.9571723237817 |
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 |
36400bg1 81900x1 364b1 63700bc1 |
Quadratic twists by: -4 -3 5 -7 |