Atkin-Lehner |
2- 3- 5+ 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
123900t |
Isogeny class |
Conductor |
123900 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
255853500000000 = 28 · 3 · 59 · 72 · 592 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 4 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2449508,1474775988] |
[a1,a2,a3,a4,a6] |
Generators |
[-465309:38427526:729] |
Generators of the group modulo torsion |
j |
406350206368585936/63963375 |
j-invariant |
L |
8.5024811853104 |
L(r)(E,1)/r! |
Ω |
0.43353411785224 |
Real period |
R |
9.8060115523927 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000057959 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24780f2 |
Quadratic twists by: 5 |