Atkin-Lehner |
2- 3+ 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
36600w |
Isogeny class |
Conductor |
36600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3431250000000000 = 210 · 32 · 514 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 0 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-298008,-62453988] |
[a1,a2,a3,a4,a6] |
Generators |
[-307:76:1] |
Generators of the group modulo torsion |
j |
182931693664324/214453125 |
j-invariant |
L |
3.9397331530106 |
L(r)(E,1)/r! |
Ω |
0.20434923816377 |
Real period |
R |
4.8198529982441 |
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 |
73200z4 109800u4 7320g3 |
Quadratic twists by: -4 -3 5 |