Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
37440b |
Isogeny class |
Conductor |
37440 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2620200960000 = 214 · 39 · 54 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -6 13+ -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6588,190512] |
[a1,a2,a3,a4,a6] |
Generators |
[-72:540:1] |
Generators of the group modulo torsion |
j |
98055792/8125 |
j-invariant |
L |
3.9595822393834 |
L(r)(E,1)/r! |
Ω |
0.79130216391214 |
Real period |
R |
2.5019407376611 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37440cx2 2340d2 37440p2 |
Quadratic twists by: -4 8 -3 |