Atkin-Lehner |
2+ 3- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
32634s |
Isogeny class |
Conductor |
32634 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
50380048668852 = 22 · 310 · 78 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -4 4 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-347517,-78764351] |
[a1,a2,a3,a4,a6] |
Generators |
[-340:197:1] |
Generators of the group modulo torsion |
j |
54117385890625/587412 |
j-invariant |
L |
3.594409696107 |
L(r)(E,1)/r! |
Ω |
0.19663271027278 |
Real period |
R |
2.284976957242 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10878z2 4662f2 |
Quadratic twists by: -3 -7 |