Atkin-Lehner |
2+ 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
56350t |
Isogeny class |
Conductor |
56350 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
5222400 |
Modular degree for the optimal curve |
Δ |
9.042598498304E+20 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- 6 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-23764501,44564919648] |
[a1,a2,a3,a4,a6] |
Generators |
[-2253:295526:1] |
Generators of the group modulo torsion |
j |
276946345316184817447/168724869939200 |
j-invariant |
L |
3.4332295616173 |
L(r)(E,1)/r! |
Ω |
0.15574409402943 |
Real period |
R |
1.1022021679431 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998423 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11270q1 56350q1 |
Quadratic twists by: 5 -7 |