Atkin-Lehner |
2- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
86240bq |
Isogeny class |
Conductor |
86240 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
-5949870080 = -1 · 212 · 5 · 74 · 112 |
Discriminant |
Eigenvalues |
2- -1 5- 7+ 11+ 4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-65,-3695] |
[a1,a2,a3,a4,a6] |
Generators |
[47:308:1] |
Generators of the group modulo torsion |
j |
-3136/605 |
j-invariant |
L |
6.1670905316013 |
L(r)(E,1)/r! |
Ω |
0.59997231558685 |
Real period |
R |
0.85657987544588 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999924194 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86240br1 86240y1 |
Quadratic twists by: -4 -7 |