Atkin-Lehner |
2+ 5+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
14350a |
Isogeny class |
Conductor |
14350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-287000000 = -1 · 26 · 56 · 7 · 41 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ -2 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,83,741] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:16:1] |
Generators of the group modulo torsion |
j |
4019679/18368 |
j-invariant |
L |
3.2905256453307 |
L(r)(E,1)/r! |
Ω |
1.2420113773579 |
Real period |
R |
2.6493522566038 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114800bo1 129150cs1 574h1 100450p1 |
Quadratic twists by: -4 -3 5 -7 |