Atkin-Lehner |
2+ 3- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
4662f |
Isogeny class |
Conductor |
4662 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
428223348 = 22 · 310 · 72 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -4 -4 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7092,231660] |
[a1,a2,a3,a4,a6] |
Generators |
[42:60:1] |
Generators of the group modulo torsion |
j |
54117385890625/587412 |
j-invariant |
L |
2.7192317618995 |
L(r)(E,1)/r! |
Ω |
1.5184243187597 |
Real period |
R |
0.44770617282406 |
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 |
37296bl2 1554l2 116550em2 32634s2 |
Quadratic twists by: -4 -3 5 -7 |