Atkin-Lehner |
2+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
116032g |
Isogeny class |
Conductor |
116032 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3096576 |
Modular degree for the optimal curve |
Δ |
-8.0408068819284E+19 |
Discriminant |
Eigenvalues |
2+ 0 -1 7- -5 -1 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6434288,-6296810464] |
[a1,a2,a3,a4,a6] |
Generators |
[580034:156086609:8] |
Generators of the group modulo torsion |
j |
-15283295882302464/41714923579 |
j-invariant |
L |
2.7518543975512 |
L(r)(E,1)/r! |
Ω |
0.047388551554935 |
Real period |
R |
4.8391687629008 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000060709 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116032bf1 14504g1 16576b1 |
Quadratic twists by: -4 8 -7 |