Atkin-Lehner |
2+ 3- 5+ 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
115050ba |
Isogeny class |
Conductor |
115050 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
2764800 |
Modular degree for the optimal curve |
Δ |
-1.858404951E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 0 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-115276,-207965302] |
[a1,a2,a3,a4,a6] |
Generators |
[817:15191:1] |
Generators of the group modulo torsion |
j |
-10842138866394289/1189379168640000 |
j-invariant |
L |
6.8953981361936 |
L(r)(E,1)/r! |
Ω |
0.096452723158902 |
Real period |
R |
1.1914987825617 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004464 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23010k1 |
Quadratic twists by: 5 |