Atkin-Lehner |
2- 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
97020l |
Isogeny class |
Conductor |
97020 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
642816 |
Modular degree for the optimal curve |
Δ |
-9375100812000000 = -1 · 28 · 33 · 56 · 72 · 116 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11- -5 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-190008,32217668] |
[a1,a2,a3,a4,a6] |
Generators |
[-272:7986:1] [344:2750:1] |
Generators of the group modulo torsion |
j |
-2239956387422208/27680640625 |
j-invariant |
L |
10.718424141933 |
L(r)(E,1)/r! |
Ω |
0.41132345811452 |
Real period |
R |
0.36192198387266 |
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 |
97020t2 97020q1 |
Quadratic twists by: -3 -7 |