Atkin-Lehner |
2+ 7- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
67522h |
Isogeny class |
Conductor |
67522 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1286208 |
Modular degree for the optimal curve |
Δ |
-1119647496990410752 = -1 · 211 · 710 · 13 · 533 |
Discriminant |
Eigenvalues |
2+ 2 2 7- 2 13+ 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,61176,50600768] |
[a1,a2,a3,a4,a6] |
Generators |
[277661357:20445093797:50653] |
Generators of the group modulo torsion |
j |
89634551783/3963701248 |
j-invariant |
L |
8.2756218752365 |
L(r)(E,1)/r! |
Ω |
0.20854183837454 |
Real period |
R |
13.227756341562 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000141 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67522d1 |
Quadratic twists by: -7 |