Atkin-Lehner |
2+ 3+ 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
111720c |
Isogeny class |
Conductor |
111720 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
479483864294400 = 210 · 32 · 52 · 78 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -4 -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-19616,97980] |
[a1,a2,a3,a4,a6] |
Generators |
[-107:980:1] [-22:720:1] |
Generators of the group modulo torsion |
j |
6929294404/3980025 |
j-invariant |
L |
9.4305868681382 |
L(r)(E,1)/r! |
Ω |
0.44841512346324 |
Real period |
R |
5.2577323863549 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999451 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15960j2 |
Quadratic twists by: -7 |