Atkin-Lehner |
3- 7+ 19- 71- |
Signs for the Atkin-Lehner involutions |
Class |
84987i |
Isogeny class |
Conductor |
84987 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
185866569 = 39 · 7 · 19 · 71 |
Discriminant |
Eigenvalues |
1 3- -2 7+ 4 6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-47808,-4011525] |
[a1,a2,a3,a4,a6] |
j |
16576888679672833/254961 |
j-invariant |
L |
2.5829379004143 |
L(r)(E,1)/r! |
Ω |
0.32286724306187 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28329d1 |
Quadratic twists by: -3 |