Atkin-Lehner |
2+ 3+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
84216a |
Isogeny class |
Conductor |
84216 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
291840 |
Modular degree for the optimal curve |
Δ |
-577678320713472 = -1 · 28 · 3 · 1110 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 11- 2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16012,-1389452] |
[a1,a2,a3,a4,a6] |
j |
-1001132368/1273767 |
j-invariant |
L |
3.6454795032718 |
L(r)(E,1)/r! |
Ω |
0.20252664028366 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7656f1 |
Quadratic twists by: -11 |