Atkin-Lehner |
2+ 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
10640a |
Isogeny class |
Conductor |
10640 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4992 |
Modular degree for the optimal curve |
Δ |
-80864000 = -1 · 28 · 53 · 7 · 192 |
Discriminant |
Eigenvalues |
2+ -3 5+ 7+ 1 5 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,92,268] |
[a1,a2,a3,a4,a6] |
Generators |
[1:19:1] |
Generators of the group modulo torsion |
j |
336393216/315875 |
j-invariant |
L |
2.5125620979921 |
L(r)(E,1)/r! |
Ω |
1.2615651576117 |
Real period |
R |
0.99581146595263 |
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 |
5320f1 42560dd1 95760bg1 53200n1 |
Quadratic twists by: -4 8 -3 5 |