Atkin-Lehner |
2- 3- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
121800bz |
Isogeny class |
Conductor |
121800 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-68512500000000000 = -1 · 211 · 33 · 514 · 7 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -3 1 6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-301008,-64900512] |
[a1,a2,a3,a4,a6] |
Generators |
[4997597391:56732865000:7189057] |
Generators of the group modulo torsion |
j |
-94256061999122/2141015625 |
j-invariant |
L |
9.2237515873864 |
L(r)(E,1)/r! |
Ω |
0.10177505916705 |
Real period |
R |
15.104800174149 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987024 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24360i1 |
Quadratic twists by: 5 |