Atkin-Lehner |
2- 3- 5- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
116550fr |
Isogeny class |
Conductor |
116550 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
563200 |
Modular degree for the optimal curve |
Δ |
-955855687500000 = -1 · 25 · 310 · 59 · 7 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -3 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-50180,-4562553] |
[a1,a2,a3,a4,a6] |
Generators |
[2369:113565:1] |
Generators of the group modulo torsion |
j |
-9814089221/671328 |
j-invariant |
L |
11.054601508594 |
L(r)(E,1)/r! |
Ω |
0.15886477921458 |
Real period |
R |
3.4792486831498 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000028015 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38850v1 116550cl1 |
Quadratic twists by: -3 5 |