Atkin-Lehner |
2- 3+ 5- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
99450cd |
Isogeny class |
Conductor |
99450 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2620800 |
Modular degree for the optimal curve |
Δ |
-1650045526867968750 = -1 · 2 · 39 · 58 · 135 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 -4 13+ 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1499555,709863697] |
[a1,a2,a3,a4,a6] |
j |
-48501962463915/214607354 |
j-invariant |
L |
3.2122871782031 |
L(r)(E,1)/r! |
Ω |
0.26769059985003 |
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 |
99450f1 99450c1 |
Quadratic twists by: -3 5 |