Atkin-Lehner |
2- 3- 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
77700y |
Isogeny class |
Conductor |
77700 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
1881600 |
Modular degree for the optimal curve |
Δ |
-1.2739039652556E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -3 1 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-358533,190449063] |
[a1,a2,a3,a4,a6] |
Generators |
[1809:73926:1] |
Generators of the group modulo torsion |
j |
-1274243237085184/3184759913139 |
j-invariant |
L |
7.8922230010691 |
L(r)(E,1)/r! |
Ω |
0.19866631520082 |
Real period |
R |
0.33105020822709 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990828 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3108a1 |
Quadratic twists by: 5 |