Atkin-Lehner |
2- 43+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
10492a |
Isogeny class |
Conductor |
10492 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1824 |
Modular degree for the optimal curve |
Δ |
-28873984 = -1 · 28 · 432 · 61 |
Discriminant |
Eigenvalues |
2- -2 -1 -3 -3 1 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-36,-284] |
[a1,a2,a3,a4,a6] |
Generators |
[12:34:1] [20:86:1] |
Generators of the group modulo torsion |
j |
-20720464/112789 |
j-invariant |
L |
4.0957755051063 |
L(r)(E,1)/r! |
Ω |
0.87406955671554 |
Real period |
R |
0.78097817914669 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999968 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41968c1 94428d1 |
Quadratic twists by: -4 -3 |