Atkin-Lehner |
3+ 5+ 23- 43- |
Signs for the Atkin-Lehner involutions |
Class |
74175n |
Isogeny class |
Conductor |
74175 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
353147175 = 33 · 52 · 233 · 43 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -2 0 1 -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-613,5516] |
[a1,a2,a3,a4,a6] |
Generators |
[16:3:1] |
Generators of the group modulo torsion |
j |
1019082645625/14125887 |
j-invariant |
L |
1.9890003460405 |
L(r)(E,1)/r! |
Ω |
1.7080542037424 |
Real period |
R |
0.38816105104976 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005614 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74175t1 |
Quadratic twists by: 5 |