Atkin-Lehner |
2- 3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
109200db |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
373956710400000000 = 218 · 32 · 58 · 74 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3397408,2411245312] |
[a1,a2,a3,a4,a6] |
Generators |
[-2102:16146:1] [322:36750:1] |
Generators of the group modulo torsion |
j |
67762119444423769/5843073600 |
j-invariant |
L |
9.1063169513618 |
L(r)(E,1)/r! |
Ω |
0.28788624242885 |
Real period |
R |
3.95395628806 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000003714 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
13650ct2 21840ca2 |
Quadratic twists by: -4 5 |