Atkin-Lehner |
2+ 3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
92400bk |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
66560 |
Modular degree for the optimal curve |
Δ |
261954000 = 24 · 35 · 53 · 72 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 11+ 2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4443,-112518] |
[a1,a2,a3,a4,a6] |
Generators |
[472186:8711062:1331] |
Generators of the group modulo torsion |
j |
4850878539776/130977 |
j-invariant |
L |
6.2974334567711 |
L(r)(E,1)/r! |
Ω |
0.58475377556883 |
Real period |
R |
10.769376313954 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999994704 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46200db1 92400cr1 |
Quadratic twists by: -4 5 |