Atkin-Lehner |
3- 7- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
18837h |
Isogeny class |
Conductor |
18837 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
940800 |
Modular degree for the optimal curve |
Δ |
3.9535156394828E+20 |
Discriminant |
Eigenvalues |
2 3- 0 7- 5 13+ -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1848045,141004363] |
[a1,a2,a3,a4,a6] |
Generators |
[-9038:224409:8] |
Generators of the group modulo torsion |
j |
957489037049050624000/542320389503807733 |
j-invariant |
L |
10.70763384511 |
L(r)(E,1)/r! |
Ω |
0.14520008896081 |
Real period |
R |
7.3743989564635 |
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 |
6279b1 |
Quadratic twists by: -3 |