Atkin-Lehner |
2- 7- 23- 37- |
Signs for the Atkin-Lehner involutions |
Class |
83398k |
Isogeny class |
Conductor |
83398 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
29570512258 = 2 · 73 · 23 · 374 |
Discriminant |
Eigenvalues |
2- 0 4 7- -4 -6 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1518,-20821] |
[a1,a2,a3,a4,a6] |
Generators |
[-95856:202645:4096] |
Generators of the group modulo torsion |
j |
1127136889143/86211406 |
j-invariant |
L |
12.015873340722 |
L(r)(E,1)/r! |
Ω |
0.76860150600465 |
Real period |
R |
7.8167120723789 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992111 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83398l2 |
Quadratic twists by: -7 |