Atkin-Lehner |
2- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
96800bq |
Isogeny class |
Conductor |
96800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-779486840000000 = -1 · 29 · 57 · 117 |
Discriminant |
Eigenvalues |
2- 1 5+ 3 11- -2 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1008,1342988] |
[a1,a2,a3,a4,a6] |
Generators |
[-2319:24200:27] |
Generators of the group modulo torsion |
j |
-8/55 |
j-invariant |
L |
9.1238178891989 |
L(r)(E,1)/r! |
Ω |
0.40386514316556 |
Real period |
R |
2.8239060823376 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016839 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96800bt1 19360k1 8800e1 |
Quadratic twists by: -4 5 -11 |