Atkin-Lehner |
2- 3- 7- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
107184cu |
Isogeny class |
Conductor |
107184 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
1804724748288 = 214 · 35 · 72 · 11 · 292 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11- -4 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-43968,3533364] |
[a1,a2,a3,a4,a6] |
Generators |
[138:-336:1] |
Generators of the group modulo torsion |
j |
2295005733042625/440606628 |
j-invariant |
L |
8.8850081240815 |
L(r)(E,1)/r! |
Ω |
0.81153907289392 |
Real period |
R |
0.54741714882951 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017034 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13398v1 |
Quadratic twists by: -4 |