Atkin-Lehner |
2+ 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360dr |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
125783192371200 = 223 · 3 · 52 · 7 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5734625,-5287650177] |
[a1,a2,a3,a4,a6] |
Generators |
[1183326:77201495:216] |
Generators of the group modulo torsion |
j |
79560762543506753209/479824800 |
j-invariant |
L |
9.0633156986683 |
L(r)(E,1)/r! |
Ω |
0.097560337177426 |
Real period |
R |
11.612449219414 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009107 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360fd4 2730d3 |
Quadratic twists by: -4 8 |