Atkin-Lehner |
2- 3- 5+ 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
74340q |
Isogeny class |
Conductor |
74340 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-232356174750000 = -1 · 24 · 38 · 56 · 74 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 -4 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-54948,-5011603] |
[a1,a2,a3,a4,a6] |
Generators |
[719:18088:1] |
Generators of the group modulo torsion |
j |
-1573011399294976/19920796875 |
j-invariant |
L |
6.5947814504516 |
L(r)(E,1)/r! |
Ω |
0.15579524670611 |
Real period |
R |
5.2912248537238 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999980961 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24780f1 |
Quadratic twists by: -3 |