Atkin-Lehner |
2+ 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
10640f |
Isogeny class |
Conductor |
10640 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-949373889116590000 = -1 · 24 · 54 · 712 · 193 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ -4 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-978122,-375277761] |
[a1,a2,a3,a4,a6] |
Generators |
[454354:108263045:8] |
Generators of the group modulo torsion |
j |
-6468190632452541413376/59335868069786875 |
j-invariant |
L |
4.1755937698099 |
L(r)(E,1)/r! |
Ω |
0.075863633344345 |
Real period |
R |
9.1734638098532 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5320e1 42560bw1 95760v1 53200r1 |
Quadratic twists by: -4 8 -3 5 |