Atkin-Lehner |
2+ 3- 7- 23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
89838i |
Isogeny class |
Conductor |
89838 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
628992 |
Modular degree for the optimal curve |
Δ |
-6188588643976704 = -1 · 29 · 313 · 73 · 23 · 312 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 2 -5 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7425,-3791043] |
[a1,a2,a3,a4,a6] |
Generators |
[183:885:1] |
Generators of the group modulo torsion |
j |
-62103840598801/8489147659776 |
j-invariant |
L |
3.5613751339833 |
L(r)(E,1)/r! |
Ω |
0.18844422070325 |
Real period |
R |
1.574902430512 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987796 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29946r1 |
Quadratic twists by: -3 |