Atkin-Lehner |
2+ 31+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
73408f |
Isogeny class |
Conductor |
73408 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
31744 |
Modular degree for the optimal curve |
Δ |
-4698112 = -1 · 212 · 31 · 37 |
Discriminant |
Eigenvalues |
2+ -2 4 3 2 1 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-281,-1913] |
[a1,a2,a3,a4,a6] |
Generators |
[2805:7484:125] |
Generators of the group modulo torsion |
j |
-601211584/1147 |
j-invariant |
L |
7.0002320260674 |
L(r)(E,1)/r! |
Ω |
0.58279337709651 |
Real period |
R |
6.0057580445766 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000601 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73408l1 36704b1 |
Quadratic twists by: -4 8 |