Atkin-Lehner |
2+ 3- 11- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
16434h |
Isogeny class |
Conductor |
16434 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36900864 |
Modular degree for the optimal curve |
Δ |
4.5414109958632E+26 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 11- -2 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-78364164267,8443555794737797] |
[a1,a2,a3,a4,a6] |
Generators |
[512524881676202014976033943126562185582:-302661069443963832175478286609416089783:3171613843262629775896184899506213] |
Generators of the group modulo torsion |
j |
73004343986575294668452356853640625/622964471311819616550912 |
j-invariant |
L |
4.0083176302728 |
L(r)(E,1)/r! |
Ω |
0.036602427624823 |
Real period |
R |
54.754805765321 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5478j1 |
Quadratic twists by: -3 |