Atkin-Lehner |
2+ 3+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
101640h |
Isogeny class |
Conductor |
101640 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
78336 |
Modular degree for the optimal curve |
Δ |
-6374860800 = -1 · 211 · 3 · 52 · 73 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 11- 1 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1800,30252] |
[a1,a2,a3,a4,a6] |
Generators |
[29:40:1] |
Generators of the group modulo torsion |
j |
-2604156962/25725 |
j-invariant |
L |
5.9817382820902 |
L(r)(E,1)/r! |
Ω |
1.3444591149191 |
Real period |
R |
2.2245891393216 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999857373 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101640ca1 |
Quadratic twists by: -11 |