Atkin-Lehner |
3- 5+ 17- 89- |
Signs for the Atkin-Lehner involutions |
Class |
113475p |
Isogeny class |
Conductor |
113475 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
104448 |
Modular degree for the optimal curve |
Δ |
90425390625 = 32 · 58 · 172 · 89 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 0 -4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1126,-1477] |
[a1,a2,a3,a4,a6] |
j |
10091699281/5787225 |
j-invariant |
L |
3.5782281733528 |
L(r)(E,1)/r! |
Ω |
0.89455697341174 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22695a1 |
Quadratic twists by: 5 |