Atkin-Lehner |
2- 5+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
59780b |
Isogeny class |
Conductor |
59780 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
1330560 |
Modular degree for the optimal curve |
Δ |
9.7378592012022E+18 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ -2 -6 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-749226,199662485] |
[a1,a2,a3,a4,a6] |
Generators |
[-43996:1262883:64] |
Generators of the group modulo torsion |
j |
504264632483584/105574537625 |
j-invariant |
L |
7.2276764218269 |
L(r)(E,1)/r! |
Ω |
0.2172501105128 |
Real period |
R |
6.6537838852817 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999721 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59780l1 |
Quadratic twists by: -7 |