Atkin-Lehner |
2- 3- 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
75810dt |
Isogeny class |
Conductor |
75810 |
Conductor |
∏ cp |
660 |
Product of Tamagawa factors cp |
deg |
42134400 |
Modular degree for the optimal curve |
Δ |
-6.3752763074801E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -3 -1 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2974168000,-62430682605568] |
[a1,a2,a3,a4,a6] |
Generators |
[156704:-57693952:1] |
Generators of the group modulo torsion |
j |
-9016495979563870309819/19756800000 |
j-invariant |
L |
13.89923559309 |
L(r)(E,1)/r! |
Ω |
0.010221818959188 |
Real period |
R |
2.0602446540245 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001541 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75810bc1 |
Quadratic twists by: -19 |