Atkin-Lehner |
2+ 3+ 5- 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
88350q |
Isogeny class |
Conductor |
88350 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
3975750 = 2 · 33 · 53 · 19 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 1 -1 5 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-120,450] |
[a1,a2,a3,a4,a6] |
Generators |
[5:0:1] |
Generators of the group modulo torsion |
j |
1548816893/31806 |
j-invariant |
L |
4.27122284117 |
L(r)(E,1)/r! |
Ω |
2.4747372047292 |
Real period |
R |
0.86296493016008 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007217 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88350cw1 |
Quadratic twists by: 5 |