Atkin-Lehner |
3+ 7- 19- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
84987a |
Isogeny class |
Conductor |
84987 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
124800 |
Modular degree for the optimal curve |
Δ |
-8479047011211 = -1 · 39 · 75 · 192 · 71 |
Discriminant |
Eigenvalues |
1 3+ 1 7- 5 -1 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,741,-140068] |
[a1,a2,a3,a4,a6] |
Generators |
[152:1786:1] |
Generators of the group modulo torsion |
j |
2284322013/430780217 |
j-invariant |
L |
9.8421621971845 |
L(r)(E,1)/r! |
Ω |
0.34649866031124 |
Real period |
R |
1.4202309160427 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002394 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84987f1 |
Quadratic twists by: -3 |