Atkin-Lehner |
2- 3- 29+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
37062h |
Isogeny class |
Conductor |
37062 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
236544 |
Modular degree for the optimal curve |
Δ |
-477332449376256 = -1 · 211 · 313 · 29 · 712 |
Discriminant |
Eigenvalues |
2- 3- 1 -1 2 -4 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-309947,-66347733] |
[a1,a2,a3,a4,a6] |
Generators |
[1175:-35094:1] |
Generators of the group modulo torsion |
j |
-4517073753029676649/654777022464 |
j-invariant |
L |
9.1156641932889 |
L(r)(E,1)/r! |
Ω |
0.10116820216612 |
Real period |
R |
1.0239095969647 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12354b1 |
Quadratic twists by: -3 |