Atkin-Lehner |
2- 3+ 5+ 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
72150cc |
Isogeny class |
Conductor |
72150 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
Δ |
5195216460622500000 = 25 · 38 · 57 · 132 · 374 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 -4 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3663088,-2697776719] |
[a1,a2,a3,a4,a6] |
Generators |
[-1125:1537:1] [2615:73617:1] |
Generators of the group modulo torsion |
j |
347893047503553605689/332493853479840 |
j-invariant |
L |
11.720287434792 |
L(r)(E,1)/r! |
Ω |
0.10913464381793 |
Real period |
R |
1.3424114269373 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999299 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14430o3 |
Quadratic twists by: 5 |