Atkin-Lehner |
2- 7- 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
72226i |
Isogeny class |
Conductor |
72226 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
5549268032 = 26 · 76 · 11 · 67 |
Discriminant |
Eigenvalues |
2- 0 -4 7- 11+ 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-622,4925] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:107:1] |
Generators of the group modulo torsion |
j |
225866529/47168 |
j-invariant |
L |
5.7194684295651 |
L(r)(E,1)/r! |
Ω |
1.2804512788996 |
Real period |
R |
0.74445998404424 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999958231 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1474a1 |
Quadratic twists by: -7 |