Atkin-Lehner |
2- 3- 5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
85200eb |
Isogeny class |
Conductor |
85200 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
37440 |
Modular degree for the optimal curve |
Δ |
1331250000 = 24 · 3 · 58 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -1 2 1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-333,-1662] |
[a1,a2,a3,a4,a6] |
Generators |
[-86:225:8] |
Generators of the group modulo torsion |
j |
655360/213 |
j-invariant |
L |
7.2560611046589 |
L(r)(E,1)/r! |
Ω |
1.1462261890421 |
Real period |
R |
2.1101306685223 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001344 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21300i1 85200cg1 |
Quadratic twists by: -4 5 |