Atkin-Lehner |
2- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
2450s |
Isogeny class |
Conductor |
2450 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-720600125000000 = -1 · 26 · 59 · 78 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ -6 4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-39838,-3338469] |
[a1,a2,a3,a4,a6] |
j |
-77626969/8000 |
j-invariant |
L |
2.0158152218771 |
L(r)(E,1)/r! |
Ω |
0.16798460182309 |
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 |
19600bt2 78400d2 22050bb2 490a2 |
Quadratic twists by: -4 8 -3 5 |