Atkin-Lehner |
2+ 3+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
20496c |
Isogeny class |
Conductor |
20496 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-8789459712768 = -1 · 28 · 32 · 75 · 613 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7- 0 4 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-425,142821] |
[a1,a2,a3,a4,a6] |
Generators |
[116:1281:1] |
Generators of the group modulo torsion |
j |
-33240841216/34333827003 |
j-invariant |
L |
3.2330338455936 |
L(r)(E,1)/r! |
Ω |
0.59123991163251 |
Real period |
R |
0.1822742219069 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10248c1 81984co1 61488h1 |
Quadratic twists by: -4 8 -3 |