Atkin-Lehner |
2+ 3+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
75810o |
Isogeny class |
Conductor |
75810 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
2764800 |
Modular degree for the optimal curve |
Δ |
1.4467109005783E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -4 6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2328818,1354624692] |
[a1,a2,a3,a4,a6] |
Generators |
[473:18716:1] |
Generators of the group modulo torsion |
j |
29689921233686449/307510640640 |
j-invariant |
L |
3.6330468786588 |
L(r)(E,1)/r! |
Ω |
0.22324040976484 |
Real period |
R |
1.3561787804866 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999961917 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3990y1 |
Quadratic twists by: -19 |