Atkin-Lehner |
3- 5+ 37- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
37185d |
Isogeny class |
Conductor |
37185 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
-8715234375 = -1 · 32 · 58 · 37 · 67 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 -4 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,256,-4183] |
[a1,a2,a3,a4,a6] |
Generators |
[147121443:-594339878:10218313] |
Generators of the group modulo torsion |
j |
1865864036231/8715234375 |
j-invariant |
L |
6.7843657923056 |
L(r)(E,1)/r! |
Ω |
0.65743951834068 |
Real period |
R |
10.319376312254 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111555o1 |
Quadratic twists by: -3 |