Atkin-Lehner |
2+ 5- 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
14630k |
Isogeny class |
Conductor |
14630 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
56320 |
Modular degree for the optimal curve |
Δ |
12661323530240 = 216 · 5 · 75 · 112 · 19 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- 11+ 0 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-34203,2425766] |
[a1,a2,a3,a4,a6] |
Generators |
[122:208:1] |
Generators of the group modulo torsion |
j |
4424844982155048361/12661323530240 |
j-invariant |
L |
2.6423505881866 |
L(r)(E,1)/r! |
Ω |
0.71318249171221 |
Real period |
R |
0.74100265188586 |
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 |
117040cd1 73150bb1 102410i1 |
Quadratic twists by: -4 5 -7 |