Atkin-Lehner |
3- 5- 7- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
33915q |
Isogeny class |
Conductor |
33915 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
-2882775 = -1 · 3 · 52 · 7 · 172 · 19 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- -2 -6 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-20,87] |
[a1,a2,a3,a4,a6] |
Generators |
[3:6:1] |
Generators of the group modulo torsion |
j |
-887503681/2882775 |
j-invariant |
L |
4.2586265491283 |
L(r)(E,1)/r! |
Ω |
2.2312873649046 |
Real period |
R |
1.9085961835806 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101745x1 |
Quadratic twists by: -3 |