Atkin-Lehner |
2+ 3- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
65472bb |
Isogeny class |
Conductor |
65472 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
5492541407232 = 214 · 3 · 112 · 314 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 11- 2 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-59105329,-174919003633] |
[a1,a2,a3,a4,a6] |
Generators |
[-46622957227653107838523295257:-1882743788507391831914952:10503026349759599003558657] |
Generators of the group modulo torsion |
j |
1393746203803968446127568/335238123 |
j-invariant |
L |
7.7276622205069 |
L(r)(E,1)/r! |
Ω |
0.054449374403399 |
Real period |
R |
35.480950448699 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997776 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65472bo2 4092a2 |
Quadratic twists by: -4 8 |