Atkin-Lehner |
2- 7+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
59696o |
Isogeny class |
Conductor |
59696 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
8378423405707264 = 221 · 73 · 132 · 413 |
Discriminant |
Eigenvalues |
2- -1 -3 7+ 6 13- 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-274632,55311856] |
[a1,a2,a3,a4,a6] |
Generators |
[244:1664:1] |
Generators of the group modulo torsion |
j |
559266446640355273/2045513526784 |
j-invariant |
L |
3.9113838533341 |
L(r)(E,1)/r! |
Ω |
0.41552104135963 |
Real period |
R |
1.1766503569846 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000335 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7462g2 |
Quadratic twists by: -4 |