Atkin-Lehner |
2- 3+ 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
97284c |
Isogeny class |
Conductor |
97284 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
167904 |
Modular degree for the optimal curve |
Δ |
-2068134483888 = -1 · 24 · 32 · 118 · 67 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 11- 0 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3549,-105642] |
[a1,a2,a3,a4,a6] |
Generators |
[81:363:1] |
Generators of the group modulo torsion |
j |
-1441792/603 |
j-invariant |
L |
3.0328300496622 |
L(r)(E,1)/r! |
Ω |
0.30306194589422 |
Real period |
R |
0.55596079113952 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999472333 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97284b1 |
Quadratic twists by: -11 |