Atkin-Lehner |
2+ 3- 5+ 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
52470f |
Isogeny class |
Conductor |
52470 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4139520 |
Modular degree for the optimal curve |
Δ |
-2.2575146531627E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11+ -3 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-14292090,-20918260044] |
[a1,a2,a3,a4,a6] |
Generators |
[8700272196:288481815582:1771561] |
Generators of the group modulo torsion |
j |
-442877307391997861876641/3096727919290368000 |
j-invariant |
L |
3.6985307128199 |
L(r)(E,1)/r! |
Ω |
0.03880737079901 |
Real period |
R |
11.913106443023 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17490bb1 |
Quadratic twists by: -3 |