Atkin-Lehner |
2- 3+ 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
85200ce |
Isogeny class |
Conductor |
85200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-9422438400000000 = -1 · 222 · 34 · 58 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 2 -2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,26592,-4370688] |
[a1,a2,a3,a4,a6] |
Generators |
[362:7250:1] |
Generators of the group modulo torsion |
j |
32492296871/147225600 |
j-invariant |
L |
5.0730303184168 |
L(r)(E,1)/r! |
Ω |
0.20675956627123 |
Real period |
R |
3.0669864575745 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001171 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10650bc1 17040w1 |
Quadratic twists by: -4 5 |