Atkin-Lehner |
2+ 3- 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
85200bb |
Isogeny class |
Conductor |
85200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
1417781250000 = 24 · 32 · 59 · 712 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 0 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8783,308688] |
[a1,a2,a3,a4,a6] |
Generators |
[448:9300:1] |
Generators of the group modulo torsion |
j |
299751798784/5671125 |
j-invariant |
L |
6.7467719436984 |
L(r)(E,1)/r! |
Ω |
0.85344712646877 |
Real period |
R |
3.9526595929307 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001047 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42600o1 17040b1 |
Quadratic twists by: -4 5 |