Atkin-Lehner |
2+ 3- 7- 29+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
37758i |
Isogeny class |
Conductor |
37758 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
66816 |
Modular degree for the optimal curve |
Δ |
-96148179456 = -1 · 29 · 3 · 74 · 292 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 3 -5 1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8613,-308720] |
[a1,a2,a3,a4,a6] |
j |
-70650390803920201/96148179456 |
j-invariant |
L |
1.9821729411394 |
L(r)(E,1)/r! |
Ω |
0.24777161764597 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113274bv1 |
Quadratic twists by: -3 |