Atkin-Lehner |
2+ 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
14210c |
Isogeny class |
Conductor |
14210 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-30569916160 = -1 · 28 · 5 · 77 · 29 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 0 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,775,-1555] |
[a1,a2,a3,a4,a6] |
Generators |
[443:9113:1] |
Generators of the group modulo torsion |
j |
437245479/259840 |
j-invariant |
L |
2.8669171185609 |
L(r)(E,1)/r! |
Ω |
0.68648791147665 |
Real period |
R |
4.1762091810096 |
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 |
113680bd1 127890fr1 71050bx1 2030a1 |
Quadratic twists by: -4 -3 5 -7 |