Atkin-Lehner |
2+ 3+ 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
122034d |
Isogeny class |
Conductor |
122034 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1612800 |
Modular degree for the optimal curve |
Δ |
17302531512296448 = 210 · 35 · 11 · 436 |
Discriminant |
Eigenvalues |
2+ 3+ 4 2 11- 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-83243,-6772995] |
[a1,a2,a3,a4,a6] |
Generators |
[5634129130876925:1166904980243641323:130709796875] |
Generators of the group modulo torsion |
j |
10091699281/2737152 |
j-invariant |
L |
6.87647879177 |
L(r)(E,1)/r! |
Ω |
0.28678259103813 |
Real period |
R |
23.978020248368 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000002469 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66c1 |
Quadratic twists by: -43 |