Atkin-Lehner |
2+ 3+ 5+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
48450f |
Isogeny class |
Conductor |
48450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
19353600 |
Modular degree for the optimal curve |
Δ |
-9.4781461600666E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 4 -4 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1675810125,26404250908125] |
[a1,a2,a3,a4,a6] |
j |
-33310267215676521662102631121/606601354244259840 |
j-invariant |
L |
0.37147559930814 |
L(r)(E,1)/r! |
Ω |
0.092868899864357 |
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 |
9690t1 |
Quadratic twists by: 5 |