Atkin-Lehner |
3- 5+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
73515j |
Isogeny class |
Conductor |
73515 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-573995076013125 = -1 · 38 · 54 · 136 · 29 |
Discriminant |
Eigenvalues |
-1 3- 5+ -4 4 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,19009,559350] |
[a1,a2,a3,a4,a6] |
Generators |
[1:760:1] |
Generators of the group modulo torsion |
j |
157376536199/118918125 |
j-invariant |
L |
4.4251769826728 |
L(r)(E,1)/r! |
Ω |
0.33087858736 |
Real period |
R |
0.83587627628638 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999968066 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
435c4 |
Quadratic twists by: 13 |