Atkin-Lehner |
3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
47775dp |
Isogeny class |
Conductor |
47775 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2304000 |
Modular degree for the optimal curve |
Δ |
3.3090485804779E+20 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- -6 13- 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6088888,-5716922233] |
[a1,a2,a3,a4,a6] |
Generators |
[227307:19722208:27] |
Generators of the group modulo torsion |
j |
108647414150813/1440074181 |
j-invariant |
L |
3.9162949654889 |
L(r)(E,1)/r! |
Ω |
0.096186334733597 |
Real period |
R |
5.0894638208292 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000027 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47775bi1 6825g1 |
Quadratic twists by: 5 -7 |