Atkin-Lehner |
2- 3+ 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
75810cd |
Isogeny class |
Conductor |
75810 |
Conductor |
∏ cp |
126 |
Product of Tamagawa factors cp |
deg |
18768960 |
Modular degree for the optimal curve |
Δ |
-1.8226090639859E+25 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 3 1 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,32104264,-193087373191] |
[a1,a2,a3,a4,a6] |
Generators |
[4121:93965:1] |
Generators of the group modulo torsion |
j |
11340428292410309/56482136645760 |
j-invariant |
L |
8.6317754520286 |
L(r)(E,1)/r! |
Ω |
0.03469411598124 |
Real period |
R |
1.974575585456 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000824 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75810bh1 |
Quadratic twists by: -19 |