Atkin-Lehner |
2+ 3+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
27930g |
Isogeny class |
Conductor |
27930 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
4845310628659200 = 216 · 33 · 52 · 78 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-645698,199409652] |
[a1,a2,a3,a4,a6] |
Generators |
[531:2307:1] |
Generators of the group modulo torsion |
j |
253060782505556761/41184460800 |
j-invariant |
L |
2.9281151068081 |
L(r)(E,1)/r! |
Ω |
0.41898847773421 |
Real period |
R |
1.7471334311164 |
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 |
83790fj1 3990p1 |
Quadratic twists by: -3 -7 |