Atkin-Lehner |
5- 7- 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
129115s |
Isogeny class |
Conductor |
129115 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2162160 |
Modular degree for the optimal curve |
Δ |
-275130680691328315 = -1 · 5 · 76 · 17 · 317 |
Discriminant |
Eigenvalues |
1 -2 5- 7- -5 5 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-362773,-87835737] |
[a1,a2,a3,a4,a6] |
Generators |
[267234787446024038402201034593:7442616622757344017260240825343:227308748137998766500931181] |
Generators of the group modulo torsion |
j |
-44878529736708409/2338572199435 |
j-invariant |
L |
4.6342562360409 |
L(r)(E,1)/r! |
Ω |
0.0969718801828 |
Real period |
R |
47.789691478653 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2635c1 |
Quadratic twists by: -7 |