Atkin-Lehner |
3+ 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
14847c |
Isogeny class |
Conductor |
14847 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
962486469 = 34 · 76 · 101 |
Discriminant |
Eigenvalues |
-2 3+ 1 7- -6 -1 5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-310,-1380] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:4:1] [-9:24:1] |
Generators of the group modulo torsion |
j |
28094464/8181 |
j-invariant |
L |
3.3314518644298 |
L(r)(E,1)/r! |
Ω |
1.162839403447 |
Real period |
R |
0.7162321500616 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44541k1 303b1 |
Quadratic twists by: -3 -7 |