Atkin-Lehner |
2+ 3- 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
121800u |
Isogeny class |
Conductor |
121800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
298410000000000 = 210 · 3 · 510 · 73 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15915408,24433208688] |
[a1,a2,a3,a4,a6] |
Generators |
[47055040851:16483816250:20346417] |
Generators of the group modulo torsion |
j |
27864874165385148196/18650625 |
j-invariant |
L |
8.4521673171986 |
L(r)(E,1)/r! |
Ω |
0.33723077479406 |
Real period |
R |
12.531725920642 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000039929 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24360s4 |
Quadratic twists by: 5 |