Atkin-Lehner |
2+ 5- 23+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
10810c |
Isogeny class |
Conductor |
10810 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
123552 |
Modular degree for the optimal curve |
Δ |
-38206864000000000 = -1 · 213 · 59 · 23 · 473 |
Discriminant |
Eigenvalues |
2+ -2 5- 2 3 -4 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-110303,16939506] |
[a1,a2,a3,a4,a6] |
Generators |
[-390:1017:1] |
Generators of the group modulo torsion |
j |
-148415761814635382761/38206864000000000 |
j-invariant |
L |
2.4808427297821 |
L(r)(E,1)/r! |
Ω |
0.34683559260244 |
Real period |
R |
2.3842638824612 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
86480l1 97290bj1 54050k1 |
Quadratic twists by: -4 -3 5 |