Atkin-Lehner |
2+ 3- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
3330f |
Isogeny class |
Conductor |
3330 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-305458996838400 = -1 · 224 · 39 · 52 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7605,-876875] |
[a1,a2,a3,a4,a6] |
Generators |
[125:275:1] |
Generators of the group modulo torsion |
j |
-66730743078481/419010969600 |
j-invariant |
L |
2.3226521327537 |
L(r)(E,1)/r! |
Ω |
0.22812807182718 |
Real period |
R |
2.5453379259187 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26640be1 106560cl1 1110k1 16650bu1 |
Quadratic twists by: -4 8 -3 5 |