Atkin-Lehner |
2- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
75950cr |
Isogeny class |
Conductor |
75950 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
15457516074218750 = 2 · 510 · 77 · 312 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 0 6 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-71688,-4341758] |
[a1,a2,a3,a4,a6] |
j |
22164361129/8408750 |
j-invariant |
L |
2.4097439375905 |
L(r)(E,1)/r! |
Ω |
0.30121798895147 |
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 |
15190q2 10850y2 |
Quadratic twists by: 5 -7 |