Atkin-Lehner |
2- 3+ 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
34122m |
Isogeny class |
Conductor |
34122 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
4790016 |
Modular degree for the optimal curve |
Δ |
-7.3099636357711E+20 |
Discriminant |
Eigenvalues |
2- 3+ 0 -3 11+ -3 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-135080833,-604338363265] |
[a1,a2,a3,a4,a6] |
j |
-115603434342732237875/310013816832 |
j-invariant |
L |
1.0628263032476 |
L(r)(E,1)/r! |
Ω |
0.022142214650952 |
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 |
102366g1 34122a1 |
Quadratic twists by: -3 -11 |