Atkin-Lehner |
2+ 3- 5+ 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
97350s |
Isogeny class |
Conductor |
97350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-43360339507031250 = -1 · 2 · 32 · 58 · 116 · 592 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 11+ 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,19099,-9965302] |
[a1,a2,a3,a4,a6] |
j |
49313776139711/2775061728450 |
j-invariant |
L |
2.758501111827 |
L(r)(E,1)/r! |
Ω |
0.17240632637933 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19470t2 |
Quadratic twists by: 5 |