Atkin-Lehner |
2+ 3+ 5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
85200s |
Isogeny class |
Conductor |
85200 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
85248 |
Modular degree for the optimal curve |
Δ |
171797280000 = 28 · 3 · 54 · 713 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 -3 0 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2308,38512] |
[a1,a2,a3,a4,a6] |
Generators |
[132:-1420:1] |
Generators of the group modulo torsion |
j |
8501573200/1073733 |
j-invariant |
L |
5.7749316913688 |
L(r)(E,1)/r! |
Ω |
0.98088767912504 |
Real period |
R |
0.32708081181761 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000601 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42600l1 85200bc1 |
Quadratic twists by: -4 5 |