Atkin-Lehner |
2- 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
75950dc |
Isogeny class |
Conductor |
75950 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-1357293571445000 = -1 · 23 · 54 · 710 · 312 |
Discriminant |
Eigenvalues |
2- 1 5- 7- 3 4 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-26363,-2422183] |
[a1,a2,a3,a4,a6] |
j |
-27557573425/18458888 |
j-invariant |
L |
6.5482973037309 |
L(r)(E,1)/r! |
Ω |
0.18189714808517 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75950m1 10850bd1 |
Quadratic twists by: 5 -7 |