Atkin-Lehner |
7- 41+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
86387b |
Isogeny class |
Conductor |
86387 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
81408 |
Modular degree for the optimal curve |
Δ |
-207415187 = -1 · 76 · 41 · 43 |
Discriminant |
Eigenvalues |
2 -1 2 7- -6 0 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-4622,-119421] |
[a1,a2,a3,a4,a6] |
Generators |
[383406:16136621:216] |
Generators of the group modulo torsion |
j |
-92836605952/1763 |
j-invariant |
L |
10.585253003128 |
L(r)(E,1)/r! |
Ω |
0.28950345360288 |
Real period |
R |
9.1408693658519 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001644 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1763d1 |
Quadratic twists by: -7 |