Atkin-Lehner |
3- 5+ 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
37275h |
Isogeny class |
Conductor |
37275 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-619187255859375 = -1 · 36 · 512 · 72 · 71 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 4 0 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-26313,-2035008] |
[a1,a2,a3,a4,a6] |
Generators |
[372:6114:1] |
Generators of the group modulo torsion |
j |
-128948357570761/39627984375 |
j-invariant |
L |
4.6621678441637 |
L(r)(E,1)/r! |
Ω |
0.18451690615488 |
Real period |
R |
2.1055739287524 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111825e1 7455c1 |
Quadratic twists by: -3 5 |