Atkin-Lehner |
2+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
53200r |
Isogeny class |
Conductor |
53200 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
3317760 |
Modular degree for the optimal curve |
Δ |
-1.4833967017447E+22 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- -4 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-24453050,-46909720125] |
[a1,a2,a3,a4,a6] |
Generators |
[105010:11009075:8] |
Generators of the group modulo torsion |
j |
-6468190632452541413376/59335868069786875 |
j-invariant |
L |
5.1910662961465 |
L(r)(E,1)/r! |
Ω |
0.033927248235615 |
Real period |
R |
4.2501615515762 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000158 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26600s1 10640f1 |
Quadratic twists by: -4 5 |