Atkin-Lehner |
2+ 3- 5- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
122010z |
Isogeny class |
Conductor |
122010 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
23728626810000 = 24 · 35 · 54 · 76 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-22223,1251506] |
[a1,a2,a3,a4,a6] |
Generators |
[60:337:1] [-85:1632:1] |
Generators of the group modulo torsion |
j |
10316097499609/201690000 |
j-invariant |
L |
11.063442175631 |
L(r)(E,1)/r! |
Ω |
0.67464546579497 |
Real period |
R |
0.40997244971056 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000003351 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2490b1 |
Quadratic twists by: -7 |