Atkin-Lehner |
2- 3+ 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
86100k |
Isogeny class |
Conductor |
86100 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-381250800 = -1 · 24 · 34 · 52 · 7 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -3 6 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2238,41517] |
[a1,a2,a3,a4,a6] |
Generators |
[23:41:1] |
Generators of the group modulo torsion |
j |
-3100544776960/953127 |
j-invariant |
L |
5.7776473077762 |
L(r)(E,1)/r! |
Ω |
1.6564805694445 |
Real period |
R |
0.8719763165381 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010959 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86100bj1 |
Quadratic twists by: 5 |