Atkin-Lehner |
2- 3+ 5- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
124080bp |
Isogeny class |
Conductor |
124080 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-521643792059596800 = -1 · 224 · 32 · 52 · 113 · 473 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 11- -7 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,201080,1672432] |
[a1,a2,a3,a4,a6] |
Generators |
[514:15510:1] |
Generators of the group modulo torsion |
j |
219517037998540919/127354441420800 |
j-invariant |
L |
6.1737442951651 |
L(r)(E,1)/r! |
Ω |
0.17623788267274 |
Real period |
R |
0.4865381177584 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000096871 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15510i2 |
Quadratic twists by: -4 |