Atkin-Lehner |
2+ 3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76440c |
Isogeny class |
Conductor |
76440 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2721600 |
Modular degree for the optimal curve |
Δ |
-8.4260177524343E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 3 13+ -5 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-329051,-447467040] |
[a1,a2,a3,a4,a6] |
Generators |
[10619947:731591609:2197] |
Generators of the group modulo torsion |
j |
-42717947152384/913520014875 |
j-invariant |
L |
5.3577912898893 |
L(r)(E,1)/r! |
Ω |
0.082882356757371 |
Real period |
R |
10.773887835465 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999970736 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76440bn1 |
Quadratic twists by: -7 |