Atkin-Lehner |
2- 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
53200dj |
Isogeny class |
Conductor |
53200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1190400 |
Modular degree for the optimal curve |
Δ |
-357600824000000000 = -1 · 212 · 59 · 73 · 194 |
Discriminant |
Eigenvalues |
2- -3 5- 7+ -5 -5 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,146000,19150000] |
[a1,a2,a3,a4,a6] |
Generators |
[1225:45125:1] |
Generators of the group modulo torsion |
j |
43022168064/44700103 |
j-invariant |
L |
1.5439718454346 |
L(r)(E,1)/r! |
Ω |
0.20000619122223 |
Real period |
R |
1.9299050644578 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998946 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3325k1 53200dw1 |
Quadratic twists by: -4 5 |