Atkin-Lehner |
2+ 3+ 5+ 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
119850f |
Isogeny class |
Conductor |
119850 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
274869990889500000 = 25 · 3 · 56 · 17 · 476 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 -4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-163525,-3465875] |
[a1,a2,a3,a4,a6] |
Generators |
[-315:4270:1] [629:11645:1] |
Generators of the group modulo torsion |
j |
30949975477232209/17591679416928 |
j-invariant |
L |
7.1177785538301 |
L(r)(E,1)/r! |
Ω |
0.2564850157432 |
Real period |
R |
9.2504150552847 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000805 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4794i2 |
Quadratic twists by: 5 |