Atkin-Lehner |
2- 3+ 5- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
14220c |
Isogeny class |
Conductor |
14220 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-9951724800 = -1 · 28 · 39 · 52 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 5- -5 -1 -1 5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-567,-7074] |
[a1,a2,a3,a4,a6] |
Generators |
[30:54:1] |
Generators of the group modulo torsion |
j |
-4000752/1975 |
j-invariant |
L |
4.1177302903938 |
L(r)(E,1)/r! |
Ω |
0.47796998132746 |
Real period |
R |
2.1537598862159 |
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 |
56880y1 14220a1 71100b1 |
Quadratic twists by: -4 -3 5 |