Atkin-Lehner |
2+ 3+ 5- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
85200o |
Isogeny class |
Conductor |
85200 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
316800 |
Modular degree for the optimal curve |
Δ |
543577331250000 = 24 · 35 · 58 · 713 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 3 -6 -5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-31583,-1835838] |
[a1,a2,a3,a4,a6] |
j |
557464975360/86972373 |
j-invariant |
L |
1.0856649272569 |
L(r)(E,1)/r! |
Ω |
0.36188832309307 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42600m1 85200u1 |
Quadratic twists by: -4 5 |