Atkin-Lehner |
2+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
53312j |
Isogeny class |
Conductor |
53312 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
87552 |
Modular degree for the optimal curve |
Δ |
-1546140123136 = -1 · 217 · 74 · 173 |
Discriminant |
Eigenvalues |
2+ 0 1 7+ -2 4 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20972,-1170512] |
[a1,a2,a3,a4,a6] |
j |
-3241463778/4913 |
j-invariant |
L |
2.3801338762388 |
L(r)(E,1)/r! |
Ω |
0.19834448971707 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53312bo1 6664b1 53312l1 |
Quadratic twists by: -4 8 -7 |