Atkin-Lehner |
2+ 3- 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
20496f |
Isogeny class |
Conductor |
20496 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
16000 |
Modular degree for the optimal curve |
Δ |
-1487517696 = -1 · 211 · 35 · 72 · 61 |
Discriminant |
Eigenvalues |
2+ 3- -3 7+ 0 -4 -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1912,31604] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:252:1] [-22:252:1] |
Generators of the group modulo torsion |
j |
-377645701106/726327 |
j-invariant |
L |
7.3251753654081 |
L(r)(E,1)/r! |
Ω |
1.5122729274813 |
Real period |
R |
0.12109545889986 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10248b1 81984br1 61488c1 |
Quadratic twists by: -4 8 -3 |