Atkin-Lehner |
2+ 7- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
6118c |
Isogeny class |
Conductor |
6118 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
352 |
Modular degree for the optimal curve |
Δ |
-12236 = -1 · 22 · 7 · 19 · 23 |
Discriminant |
Eigenvalues |
2+ 1 1 7- 0 1 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3,-6] |
[a1,a2,a3,a4,a6] |
Generators |
[3:2:1] |
Generators of the group modulo torsion |
j |
-1771561/12236 |
j-invariant |
L |
3.7899421386455 |
L(r)(E,1)/r! |
Ω |
1.6823049654708 |
Real period |
R |
1.1264135268081 |
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 |
48944l1 55062bp1 42826e1 116242v1 |
Quadratic twists by: -4 -3 -7 -19 |