Atkin-Lehner |
2+ 3- 19- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
28386d |
Isogeny class |
Conductor |
28386 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
174080 |
Modular degree for the optimal curve |
Δ |
293128823808 = 210 · 37 · 19 · 832 |
Discriminant |
Eigenvalues |
2+ 3- 4 -4 0 4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-73530,-7656012] |
[a1,a2,a3,a4,a6] |
Generators |
[-343707:158781:2197] |
Generators of the group modulo torsion |
j |
60310538199269281/402097152 |
j-invariant |
L |
5.0784910299323 |
L(r)(E,1)/r! |
Ω |
0.28992342734045 |
Real period |
R |
4.3791657994998 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9462c1 |
Quadratic twists by: -3 |