Atkin-Lehner |
2+ 3- 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
118776h |
Isogeny class |
Conductor |
118776 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
146304 |
Modular degree for the optimal curve |
Δ |
-27639650304 = -1 · 211 · 33 · 72 · 1012 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 3 -4 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17656,-908944] |
[a1,a2,a3,a4,a6] |
Generators |
[80776:259671:512] |
Generators of the group modulo torsion |
j |
-6065955745682/275427 |
j-invariant |
L |
8.1727788396991 |
L(r)(E,1)/r! |
Ω |
0.20708242691233 |
Real period |
R |
6.577718028819 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999534824 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118776b1 |
Quadratic twists by: -7 |