Atkin-Lehner |
2- 3- 7- 29+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
37758s |
Isogeny class |
Conductor |
37758 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
229824 |
Modular degree for the optimal curve |
Δ |
72577018773504 = 214 · 33 · 7 · 293 · 312 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 4 2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-94709,-11218911] |
[a1,a2,a3,a4,a6] |
j |
93950209296335817937/72577018773504 |
j-invariant |
L |
5.7153279064711 |
L(r)(E,1)/r! |
Ω |
0.27215847173587 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113274u1 |
Quadratic twists by: -3 |