Atkin-Lehner |
2+ 5+ 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
40150d |
Isogeny class |
Conductor |
40150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-6502642535855468750 = -1 · 2 · 59 · 11 · 736 |
Discriminant |
Eigenvalues |
2+ -1 5+ 1 11- 4 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-14156125,-20506778125] |
[a1,a2,a3,a4,a6] |
j |
-20078760551186832688081/416169122294750 |
j-invariant |
L |
1.400991235861 |
L(r)(E,1)/r! |
Ω |
0.038916423218199 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8030j2 |
Quadratic twists by: 5 |