Atkin-Lehner |
2- 3- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
12432bp |
Isogeny class |
Conductor |
12432 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-25460736 = -1 · 215 · 3 · 7 · 37 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ -2 -4 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-112,-556] |
[a1,a2,a3,a4,a6] |
Generators |
[28:138:1] |
Generators of the group modulo torsion |
j |
-38272753/6216 |
j-invariant |
L |
4.143842142788 |
L(r)(E,1)/r! |
Ω |
0.72675565408011 |
Real period |
R |
2.8509184067051 |
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 |
1554j1 49728dg1 37296br1 87024cd1 |
Quadratic twists by: -4 8 -3 -7 |