Atkin-Lehner |
2- 3+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
12432bh |
Isogeny class |
Conductor |
12432 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
14976 |
Modular degree for the optimal curve |
Δ |
-234646142976 = -1 · 225 · 33 · 7 · 37 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 4 2 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,608,-22784] |
[a1,a2,a3,a4,a6] |
Generators |
[42:274:1] |
Generators of the group modulo torsion |
j |
6058428767/57286656 |
j-invariant |
L |
3.3737689032574 |
L(r)(E,1)/r! |
Ω |
0.48968761069344 |
Real period |
R |
3.4448175015903 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1554k1 49728fb1 37296cg1 87024dt1 |
Quadratic twists by: -4 8 -3 -7 |