Atkin-Lehner |
2- 3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
109200fa |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
101756928000 = 215 · 3 · 53 · 72 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 2 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10088,393072] |
[a1,a2,a3,a4,a6] |
Generators |
[52:80:1] |
Generators of the group modulo torsion |
j |
221774710877/198744 |
j-invariant |
L |
5.9452873989558 |
L(r)(E,1)/r! |
Ω |
1.0557654079336 |
Real period |
R |
0.70390724841819 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021473 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13650bn2 109200gq2 |
Quadratic twists by: -4 5 |