Atkin-Lehner |
2+ 5- 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
88550ba |
Isogeny class |
Conductor |
88550 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
1202688 |
Modular degree for the optimal curve |
Δ |
-1429860887544320000 = -1 · 212 · 54 · 73 · 11 · 236 |
Discriminant |
Eigenvalues |
2+ 1 5- 7- 11+ 2 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,229849,-38850902] |
[a1,a2,a3,a4,a6] |
j |
2148692494124080775/2287777420070912 |
j-invariant |
L |
1.7510281594717 |
L(r)(E,1)/r! |
Ω |
0.14591901388756 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
88550bf1 |
Quadratic twists by: 5 |