Atkin-Lehner |
2- 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
113344ee |
Isogeny class |
Conductor |
113344 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
76169046790144 = 212 · 74 · 114 · 232 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 11- 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16516,-700800] |
[a1,a2,a3,a4,a6] |
Generators |
[-78:336:1] [-52:132:1] |
Generators of the group modulo torsion |
j |
121640553254592/18595958689 |
j-invariant |
L |
10.72549811069 |
L(r)(E,1)/r! |
Ω |
0.42546171838057 |
Real period |
R |
3.1511348868322 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000266 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
113344cr2 56672y1 |
Quadratic twists by: -4 8 |