Atkin-Lehner |
2+ 3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
14784m |
Isogeny class |
Conductor |
14784 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
-31223808 = -1 · 212 · 32 · 7 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7+ 11- -6 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,55,201] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:12:1] [1:16:1] |
Generators of the group modulo torsion |
j |
4410944/7623 |
j-invariant |
L |
4.7172117309586 |
L(r)(E,1)/r! |
Ω |
1.4282113716906 |
Real period |
R |
0.8257201672774 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14784bh1 7392d1 44352bb1 103488em1 |
Quadratic twists by: -4 8 -3 -7 |