Atkin-Lehner |
3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
20475i |
Isogeny class |
Conductor |
20475 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-3493546875 = -1 · 33 · 56 · 72 · 132 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 0 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,258,2291] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:43:1] |
Generators of the group modulo torsion |
j |
4492125/8281 |
j-invariant |
L |
5.9700470405414 |
L(r)(E,1)/r! |
Ω |
0.96756729642314 |
Real period |
R |
1.5425405195616 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20475k2 819b2 |
Quadratic twists by: -3 5 |