Atkin-Lehner |
2+ 7- 11+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
12166i |
Isogeny class |
Conductor |
12166 |
Conductor |
∏ cp |
34 |
Product of Tamagawa factors cp |
deg |
292128 |
Modular degree for the optimal curve |
Δ |
-1.2937978665913E+19 |
Discriminant |
Eigenvalues |
2+ 1 2 7- 11+ 1 8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-766620,-311024742] |
[a1,a2,a3,a4,a6] |
j |
-49826838630005468394553/12937978665912504512 |
j-invariant |
L |
2.7060504140586 |
L(r)(E,1)/r! |
Ω |
0.079589718060548 |
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 |
97328s1 109494cn1 85162e1 |
Quadratic twists by: -4 -3 -7 |