Atkin-Lehner |
2+ 3- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
2310j |
Isogeny class |
Conductor |
2310 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
176469171805080 = 23 · 316 · 5 · 7 · 114 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 11+ 2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-18033,676876] |
[a1,a2,a3,a4,a6] |
Generators |
[32:348:1] |
Generators of the group modulo torsion |
j |
648474704552553481/176469171805080 |
j-invariant |
L |
2.8408268919919 |
L(r)(E,1)/r! |
Ω |
0.53248008781431 |
Real period |
R |
0.66688571014288 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18480cj4 73920g3 6930x4 11550bq3 |
Quadratic twists by: -4 8 -3 5 |