Atkin-Lehner |
2+ 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
52200x |
Isogeny class |
Conductor |
52200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2534400 |
Modular degree for the optimal curve |
Δ |
-2.1992892609307E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 2 -1 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5482500,5147412500] |
[a1,a2,a3,a4,a6] |
Generators |
[-614:39366:1] |
Generators of the group modulo torsion |
j |
9999818009600/12067430787 |
j-invariant |
L |
4.7770783868275 |
L(r)(E,1)/r! |
Ω |
0.080752195544083 |
Real period |
R |
1.8486642819123 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104400bp1 17400z1 52200cm1 |
Quadratic twists by: -4 -3 5 |