Atkin-Lehner |
2- 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
37030n |
Isogeny class |
Conductor |
37030 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
2365440 |
Modular degree for the optimal curve |
Δ |
5.8598298918634E+20 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ 2 -4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4824491,-3909318479] |
[a1,a2,a3,a4,a6] |
Generators |
[-1074:6337:1] |
Generators of the group modulo torsion |
j |
83890194895342081/3958384640000 |
j-invariant |
L |
5.0466540253197 |
L(r)(E,1)/r! |
Ω |
0.10216559875584 |
Real period |
R |
3.5283431205085 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1610g1 |
Quadratic twists by: -23 |