Atkin-Lehner |
2- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
7600t |
Isogeny class |
Conductor |
7600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1024 |
Modular degree for the optimal curve |
Δ |
-9728000 = -1 · 212 · 53 · 19 |
Discriminant |
Eigenvalues |
2- 0 5- -2 4 -2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5,-150] |
[a1,a2,a3,a4,a6] |
Generators |
[10:30:1] |
Generators of the group modulo torsion |
j |
27/19 |
j-invariant |
L |
3.8853207462755 |
L(r)(E,1)/r! |
Ω |
1.0726779984714 |
Real period |
R |
1.8110377726644 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
475c1 30400cb1 68400ga1 7600s1 |
Quadratic twists by: -4 8 -3 5 |