Atkin-Lehner |
2- 3+ 5+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
120900i |
Isogeny class |
Conductor |
120900 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2732219100000000 = 28 · 37 · 58 · 13 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 -2 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3789508,-2838108488] |
[a1,a2,a3,a4,a6] |
Generators |
[142029294:-3756955625:54872] |
Generators of the group modulo torsion |
j |
1504569729971056336/683054775 |
j-invariant |
L |
2.830756156219 |
L(r)(E,1)/r! |
Ω |
0.10820662461023 |
Real period |
R |
13.080327896119 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999630314 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24180k2 |
Quadratic twists by: 5 |