Atkin-Lehner |
2+ 5+ 7+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
14630a |
Isogeny class |
Conductor |
14630 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2560 |
Modular degree for the optimal curve |
Δ |
1287440 = 24 · 5 · 7 · 112 · 19 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7+ 11+ -4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-29,-24] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:7:1] [-1:2:1] |
Generators of the group modulo torsion |
j |
2565726409/1287440 |
j-invariant |
L |
3.4334287213567 |
L(r)(E,1)/r! |
Ω |
2.176994688573 |
Real period |
R |
1.5771415242206 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117040bp1 73150bi1 102410p1 |
Quadratic twists by: -4 5 -7 |