Atkin-Lehner |
2+ 3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
19800p |
Isogeny class |
Conductor |
19800 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
499200 |
Modular degree for the optimal curve |
Δ |
-1.40633637507E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 11+ -1 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7135500,-7338647500] |
[a1,a2,a3,a4,a6] |
Generators |
[5350:328050:1] |
Generators of the group modulo torsion |
j |
-551149496796160/192913083 |
j-invariant |
L |
5.128621661045 |
L(r)(E,1)/r! |
Ω |
0.046185360485471 |
Real period |
R |
1.1567116017067 |
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 |
39600bq1 6600y1 19800z1 |
Quadratic twists by: -4 -3 5 |