Atkin-Lehner |
2- 3- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
49368bc |
Isogeny class |
Conductor |
49368 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
2433024 |
Modular degree for the optimal curve |
Δ |
9.9234139871629E+20 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 11+ -4 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8219812,8940445952] |
[a1,a2,a3,a4,a6] |
Generators |
[914:46818:1] |
Generators of the group modulo torsion |
j |
101750203666928/1643943843 |
j-invariant |
L |
7.853153628475 |
L(r)(E,1)/r! |
Ω |
0.15654955789061 |
Real period |
R |
1.3934447294823 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000049 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98736a1 49368i1 |
Quadratic twists by: -4 -11 |