Atkin-Lehner |
2- 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
85680dr |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-7.7914137214848E+24 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-44314203,175863075082] |
[a1,a2,a3,a4,a6] |
Generators |
[96207:29772202:1] |
Generators of the group modulo torsion |
j |
-3223035316613162194201/2609328690805052160 |
j-invariant |
L |
4.3282854640243 |
L(r)(E,1)/r! |
Ω |
0.067867847823083 |
Real period |
R |
7.9718998117322 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999948162 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10710bd4 28560dt3 |
Quadratic twists by: -4 -3 |