Atkin-Lehner |
2+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
28880m |
Isogeny class |
Conductor |
28880 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
1612800 |
Modular degree for the optimal curve |
Δ |
-8.7292162011719E+19 |
Discriminant |
Eigenvalues |
2+ -2 5- -4 -4 4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9398755,-11102802900] |
[a1,a2,a3,a4,a6] |
Generators |
[1722837080:-178029406250:148877] |
Generators of the group modulo torsion |
j |
-121981271658244096/115966796875 |
j-invariant |
L |
2.7089258585131 |
L(r)(E,1)/r! |
Ω |
0.043109919807397 |
Real period |
R |
8.9768065004055 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14440l1 115520cc1 1520c1 |
Quadratic twists by: -4 8 -19 |