Atkin-Lehner |
2+ 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
113344bz |
Isogeny class |
Conductor |
113344 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
752125394944 = 214 · 73 · 11 · 233 |
Discriminant |
Eigenvalues |
2+ -1 -3 7- 11- -5 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33297,2349361] |
[a1,a2,a3,a4,a6] |
Generators |
[-209:368:1] [2775:-1288:27] |
Generators of the group modulo torsion |
j |
249190874485072/45906091 |
j-invariant |
L |
7.6545243670451 |
L(r)(E,1)/r! |
Ω |
0.87226765030189 |
Real period |
R |
0.2437619656103 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999946619 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113344ci1 7084f1 |
Quadratic twists by: -4 8 |