Atkin-Lehner |
2+ 3+ 5- 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
76650u |
Isogeny class |
Conductor |
76650 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
81536 |
Modular degree for the optimal curve |
Δ |
-203674763250 = -1 · 2 · 313 · 53 · 7 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 3 -1 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,945,-18225] |
[a1,a2,a3,a4,a6] |
j |
745402503763/1629398106 |
j-invariant |
L |
1.0412976078808 |
L(r)(E,1)/r! |
Ω |
0.52064881058239 |
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 |
76650de1 |
Quadratic twists by: 5 |