Atkin-Lehner |
2- 3- 5+ 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
64890cb |
Isogeny class |
Conductor |
64890 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-35320924800 = -1 · 27 · 37 · 52 · 72 · 103 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -5 -6 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2543,50807] |
[a1,a2,a3,a4,a6] |
Generators |
[15:-134:1] [-27:328:1] |
Generators of the group modulo torsion |
j |
-2493877677481/48451200 |
j-invariant |
L |
13.802614216175 |
L(r)(E,1)/r! |
Ω |
1.1610446676439 |
Real period |
R |
0.10614374310014 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999962 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21630i1 |
Quadratic twists by: -3 |