Atkin-Lehner |
2+ 3+ 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
11214b |
Isogeny class |
Conductor |
11214 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
47520 |
Modular degree for the optimal curve |
Δ |
-60297797855232 = -1 · 211 · 39 · 75 · 89 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7- 0 -4 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2850,-377452] |
[a1,a2,a3,a4,a6] |
Generators |
[229:3193:1] |
Generators of the group modulo torsion |
j |
-130092635763/3063445504 |
j-invariant |
L |
4.4478198600318 |
L(r)(E,1)/r! |
Ω |
0.2700347750261 |
Real period |
R |
1.6471285446853 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89712j1 11214j1 78498e1 |
Quadratic twists by: -4 -3 -7 |