Atkin-Lehner |
5+ 7- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
99715b |
Isogeny class |
Conductor |
99715 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
152064 |
Modular degree for the optimal curve |
Δ |
65839321625 = 53 · 76 · 112 · 37 |
Discriminant |
Eigenvalues |
-1 2 5+ 7- 11+ 6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4901,-133526] |
[a1,a2,a3,a4,a6] |
j |
110661134401/559625 |
j-invariant |
L |
2.2830745890852 |
L(r)(E,1)/r! |
Ω |
0.57076865881156 |
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 |
2035c1 |
Quadratic twists by: -7 |