Atkin-Lehner |
2+ 7+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
11312c |
Isogeny class |
Conductor |
11312 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1344 |
Modular degree for the optimal curve |
Δ |
-723968 = -1 · 210 · 7 · 101 |
Discriminant |
Eigenvalues |
2+ 1 -2 7+ -6 -2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,16,-28] |
[a1,a2,a3,a4,a6] |
Generators |
[2:4:1] [8:26:1] |
Generators of the group modulo torsion |
j |
415292/707 |
j-invariant |
L |
6.1470685843909 |
L(r)(E,1)/r! |
Ω |
1.4996700446054 |
Real period |
R |
1.0247368423646 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5656c1 45248t1 101808d1 79184d1 |
Quadratic twists by: -4 8 -3 -7 |