Atkin-Lehner |
2- 5+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
4930g |
Isogeny class |
Conductor |
4930 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-42975984942250000 = -1 · 24 · 56 · 172 · 296 |
Discriminant |
Eigenvalues |
2- -2 5+ -4 0 2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1079636,-431986784] |
[a1,a2,a3,a4,a6] |
Generators |
[1544:39008:1] |
Generators of the group modulo torsion |
j |
-139173263027492416941889/42975984942250000 |
j-invariant |
L |
3.2942779738827 |
L(r)(E,1)/r! |
Ω |
0.074052917386321 |
Real period |
R |
5.5606822967841 |
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 |
39440k4 44370q4 24650d4 83810bi4 |
Quadratic twists by: -4 -3 5 17 |