Atkin-Lehner |
2- 7- 23+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
92414s |
Isogeny class |
Conductor |
92414 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-28401409792 = -1 · 28 · 76 · 23 · 41 |
Discriminant |
Eigenvalues |
2- 0 2 7- 4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,701,3651] |
[a1,a2,a3,a4,a6] |
Generators |
[3:74:1] |
Generators of the group modulo torsion |
j |
324242703/241408 |
j-invariant |
L |
12.853766473662 |
L(r)(E,1)/r! |
Ω |
0.75443990972891 |
Real period |
R |
2.1296869207194 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006157 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1886e1 |
Quadratic twists by: -7 |