Atkin-Lehner |
2- 13+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
41236a |
Isogeny class |
Conductor |
41236 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-59772731329792 = -1 · 28 · 137 · 612 |
Discriminant |
Eigenvalues |
2- 0 2 -4 -4 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,8281,-232882] |
[a1,a2,a3,a4,a6] |
Generators |
[494:11154:1] [4258:99585:8] |
Generators of the group modulo torsion |
j |
50824368/48373 |
j-invariant |
L |
8.7365604191205 |
L(r)(E,1)/r! |
Ω |
0.34110802022757 |
Real period |
R |
12.806149226998 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3172b2 |
Quadratic twists by: 13 |