Atkin-Lehner |
2- 3+ 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
86394bm |
Isogeny class |
Conductor |
86394 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-25513502475885732 = -1 · 22 · 36 · 74 · 118 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 11- -2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,7197,-7678395] |
[a1,a2,a3,a4,a6] |
Generators |
[5025:7960:27] |
Generators of the group modulo torsion |
j |
23271176375/14401707012 |
j-invariant |
L |
8.0511511339555 |
L(r)(E,1)/r! |
Ω |
0.17616234256122 |
Real period |
R |
5.7128775487639 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998884 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7854d2 |
Quadratic twists by: -11 |