Atkin-Lehner |
2- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
10478k |
Isogeny class |
Conductor |
10478 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
912 |
Modular degree for the optimal curve |
Δ |
-10478 = -1 · 2 · 132 · 31 |
Discriminant |
Eigenvalues |
2- 1 -4 0 3 13+ -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-10,-14] |
[a1,a2,a3,a4,a6] |
Generators |
[276:199:64] |
Generators of the group modulo torsion |
j |
-658489/62 |
j-invariant |
L |
6.1465234418963 |
L(r)(E,1)/r! |
Ω |
1.3345182397551 |
Real period |
R |
4.605799500368 |
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 |
83824s1 94302bb1 10478b1 |
Quadratic twists by: -4 -3 13 |