Atkin-Lehner |
2- 3- 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
38850ct |
Isogeny class |
Conductor |
38850 |
Conductor |
∏ cp |
1792 |
Product of Tamagawa factors cp |
deg |
6881280 |
Modular degree for the optimal curve |
Δ |
-1.6630545383424E+23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-95531188,359917134992] |
[a1,a2,a3,a4,a6] |
Generators |
[6632:-137716:1] |
Generators of the group modulo torsion |
j |
-6170768047181777430174841/10643549045391360000 |
j-invariant |
L |
11.67432911045 |
L(r)(E,1)/r! |
Ω |
0.10199145796727 |
Real period |
R |
0.25549953746313 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116550bz1 7770g1 |
Quadratic twists by: -3 5 |