Atkin-Lehner |
2+ 5+ 7- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
113050y |
Isogeny class |
Conductor |
113050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
168960 |
Modular degree for the optimal curve |
Δ |
-1545605468750 = -1 · 2 · 511 · 72 · 17 · 19 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- 3 0 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,2099,-46802] |
[a1,a2,a3,a4,a6] |
j |
65499561791/98918750 |
j-invariant |
L |
1.7925215078734 |
L(r)(E,1)/r! |
Ω |
0.44813072174202 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22610n1 |
Quadratic twists by: 5 |