Atkin-Lehner |
2+ 3+ 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
34122c |
Isogeny class |
Conductor |
34122 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-8257524 = -1 · 22 · 3 · 114 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 2 2 11- 2 -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-244,-1580] |
[a1,a2,a3,a4,a6] |
j |
-110433433/564 |
j-invariant |
L |
1.2069462664428 |
L(r)(E,1)/r! |
Ω |
0.60347313321976 |
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 |
102366bp1 34122p1 |
Quadratic twists by: -3 -11 |