Atkin-Lehner |
2+ 3- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
14112l |
Isogeny class |
Conductor |
14112 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
49920 |
Modular degree for the optimal curve |
Δ |
-1428781968520704 = -1 · 29 · 319 · 74 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ -1 0 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,28077,168266] |
[a1,a2,a3,a4,a6] |
j |
2731405432/1594323 |
j-invariant |
L |
1.7387591034332 |
L(r)(E,1)/r! |
Ω |
0.28979318390553 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14112k1 28224el1 4704p1 14112r1 |
Quadratic twists by: -4 8 -3 -7 |