Atkin-Lehner |
2- 3+ 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
70224bt |
Isogeny class |
Conductor |
70224 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
153216 |
Modular degree for the optimal curve |
Δ |
15994812615936 = 28 · 3 · 77 · 113 · 19 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 11+ -4 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17501,-864303] |
[a1,a2,a3,a4,a6] |
Generators |
[-83:98:1] |
Generators of the group modulo torsion |
j |
2315779240321024/62479736781 |
j-invariant |
L |
4.2785567238153 |
L(r)(E,1)/r! |
Ω |
0.41576423849872 |
Real period |
R |
0.73505887775054 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999953 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17556k1 |
Quadratic twists by: -4 |