Atkin-Lehner |
2+ 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
78650u |
Isogeny class |
Conductor |
78650 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-292376766601562500 = -1 · 22 · 512 · 116 · 132 |
Discriminant |
Eigenvalues |
2+ 2 5+ -4 11- 13- -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-37875,-26185375] |
[a1,a2,a3,a4,a6] |
Generators |
[440:6305:1] |
Generators of the group modulo torsion |
j |
-217081801/10562500 |
j-invariant |
L |
4.8802152270003 |
L(r)(E,1)/r! |
Ω |
0.13484246666568 |
Real period |
R |
4.5239969145668 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000372 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15730y2 650j2 |
Quadratic twists by: 5 -11 |