Atkin-Lehner |
2- 3+ 5- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
77520cb |
Isogeny class |
Conductor |
77520 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
4.98805788044E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 -4 6 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-234190760,-1379361306000] |
[a1,a2,a3,a4,a6] |
Generators |
[-238506:16226:27] |
Generators of the group modulo torsion |
j |
346795165011870675497264041/121778756846679600 |
j-invariant |
L |
5.2517790811433 |
L(r)(E,1)/r! |
Ω |
0.038592874277333 |
Real period |
R |
5.6700655892216 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999978024 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9690n3 |
Quadratic twists by: -4 |