Atkin-Lehner |
2- 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
97020l |
Isogeny class |
Conductor |
97020 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-746883244800 = -1 · 28 · 39 · 52 · 72 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11- -5 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15436008,23342674068] |
[a1,a2,a3,a4,a6] |
Generators |
[1653:48411:1] [2269:55:1] |
Generators of the group modulo torsion |
j |
-1647408715474378752/3025 |
j-invariant |
L |
10.718424141933 |
L(r)(E,1)/r! |
Ω |
0.41132345811452 |
Real period |
R |
3.257297854854 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998061 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97020t1 97020q2 |
Quadratic twists by: -3 -7 |