Atkin-Lehner |
2+ 3+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
74592d |
Isogeny class |
Conductor |
74592 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
-153510336 = -1 · 26 · 33 · 74 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 0 -6 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,99,460] |
[a1,a2,a3,a4,a6] |
Generators |
[3:28:1] [8:42:1] |
Generators of the group modulo torsion |
j |
62099136/88837 |
j-invariant |
L |
9.4651164754598 |
L(r)(E,1)/r! |
Ω |
1.2360386735054 |
Real period |
R |
1.9144054062325 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999739 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74592w1 74592x1 |
Quadratic twists by: -4 -3 |