Atkin-Lehner |
2+ 7+ 11- 83- |
Signs for the Atkin-Lehner involutions |
Class |
102256d |
Isogeny class |
Conductor |
102256 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-5010544 = -1 · 24 · 73 · 11 · 83 |
Discriminant |
Eigenvalues |
2+ 0 2 7+ 11- -4 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-59,205] |
[a1,a2,a3,a4,a6] |
Generators |
[12:35:1] |
Generators of the group modulo torsion |
j |
-1419579648/313159 |
j-invariant |
L |
6.004348157016 |
L(r)(E,1)/r! |
Ω |
2.3206469393668 |
Real period |
R |
2.5873596124362 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999856347 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51128f1 |
Quadratic twists by: -4 |