Atkin-Lehner |
2- 31- |
Signs for the Atkin-Lehner involutions |
Class |
61504ca |
Isogeny class |
Conductor |
61504 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-27074173092527104 = -1 · 210 · 319 |
Discriminant |
Eigenvalues |
2- 2 3 1 6 2 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,67911,-4056559] |
[a1,a2,a3,a4,a6] |
Generators |
[2024504394120:42969660369857:8527173507] |
Generators of the group modulo torsion |
j |
38112512/29791 |
j-invariant |
L |
12.750111048725 |
L(r)(E,1)/r! |
Ω |
0.20884439505923 |
Real period |
R |
15.262692404444 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61504bb2 15376y2 1984h2 |
Quadratic twists by: -4 8 -31 |