Atkin-Lehner |
3+ 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
50715g |
Isogeny class |
Conductor |
50715 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
1244160 |
Modular degree for the optimal curve |
Δ |
1.9581485273367E+19 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- -4 -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1829792,-928136366] |
[a1,a2,a3,a4,a6] |
j |
292583028222603/8456021875 |
j-invariant |
L |
1.3003684117185 |
L(r)(E,1)/r! |
Ω |
0.13003684118145 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50715b1 7245c1 |
Quadratic twists by: -3 -7 |