Atkin-Lehner |
3+ 11+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
2343c |
Isogeny class |
Conductor |
2343 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
288 |
Modular degree for the optimal curve |
Δ |
7029 = 32 · 11 · 71 |
Discriminant |
Eigenvalues |
-2 3+ -3 -3 11+ -1 1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-12,20] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:5:1] [0:4:1] |
Generators of the group modulo torsion |
j |
207474688/7029 |
j-invariant |
L |
1.5848420712066 |
L(r)(E,1)/r! |
Ω |
4.1715119121537 |
Real period |
R |
0.18996015168869 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999925 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37488bb1 7029g1 58575q1 114807w1 |
Quadratic twists by: -4 -3 5 -7 |