Atkin-Lehner |
3- 5- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
73515o |
Isogeny class |
Conductor |
73515 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
deg |
1016064 |
Modular degree for the optimal curve |
Δ |
-129837686194168875 = -1 · 39 · 53 · 137 · 292 |
Discriminant |
Eigenvalues |
0 3- 5- -3 -5 13+ -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-223305,44086709] |
[a1,a2,a3,a4,a6] |
Generators |
[1161:-36758:1] [291:1957:1] |
Generators of the group modulo torsion |
j |
-255129621889024/26899279875 |
j-invariant |
L |
9.8343889709187 |
L(r)(E,1)/r! |
Ω |
0.32075017552151 |
Real period |
R |
0.14194716649903 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999392 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5655e1 |
Quadratic twists by: 13 |