Atkin-Lehner |
2- 3- 5+ 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
52290by |
Isogeny class |
Conductor |
52290 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-147649181400 = -1 · 23 · 37 · 52 · 72 · 832 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 -4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,607,-17719] |
[a1,a2,a3,a4,a6] |
Generators |
[45:-338:1] |
Generators of the group modulo torsion |
j |
33980740919/202536600 |
j-invariant |
L |
6.7562509476046 |
L(r)(E,1)/r! |
Ω |
0.51540377245436 |
Real period |
R |
0.54619401563382 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000018 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17430p2 |
Quadratic twists by: -3 |