Atkin-Lehner |
2+ 3- 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
121800u |
Isogeny class |
Conductor |
121800 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
-24562985028750000 = -1 · 24 · 34 · 57 · 73 · 294 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-48783,8589438] |
[a1,a2,a3,a4,a6] |
Generators |
[453:8925:1] |
Generators of the group modulo torsion |
j |
-51356819421184/98251940115 |
j-invariant |
L |
8.4521673171986 |
L(r)(E,1)/r! |
Ω |
0.33723077479406 |
Real period |
R |
3.1329314801605 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000039929 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
24360s1 |
Quadratic twists by: 5 |