Atkin-Lehner |
2- 3+ 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
73200ca |
Isogeny class |
Conductor |
73200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
-92643750000 = -1 · 24 · 35 · 58 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 1 1 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3958,98287] |
[a1,a2,a3,a4,a6] |
Generators |
[41:57:1] |
Generators of the group modulo torsion |
j |
-1097440000/14823 |
j-invariant |
L |
3.6489025743364 |
L(r)(E,1)/r! |
Ω |
1.074171182998 |
Real period |
R |
3.3969469959327 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003108 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18300m1 73200cl1 |
Quadratic twists by: -4 5 |