Atkin-Lehner |
2- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
10478o |
Isogeny class |
Conductor |
10478 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
269568 |
Modular degree for the optimal curve |
Δ |
-5014260667111594496 = -1 · 29 · 139 · 314 |
Discriminant |
Eigenvalues |
2- -1 1 5 -4 13- -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-275220,-121339691] |
[a1,a2,a3,a4,a6] |
Generators |
[16463:2103085:1] |
Generators of the group modulo torsion |
j |
-217407044197/472842752 |
j-invariant |
L |
6.4400980074416 |
L(r)(E,1)/r! |
Ω |
0.097613983352045 |
Real period |
R |
1.8326432871062 |
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 |
83824bi1 94302bd1 10478i1 |
Quadratic twists by: -4 -3 13 |