Atkin-Lehner |
2+ 3+ 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
73200b |
Isogeny class |
Conductor |
73200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-3660000000 = -1 · 28 · 3 · 57 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 4 4 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-101033,12394437] |
[a1,a2,a3,a4,a6] |
Generators |
[172:275:1] |
Generators of the group modulo torsion |
j |
-28513975081984/915 |
j-invariant |
L |
6.5312458401124 |
L(r)(E,1)/r! |
Ω |
1.0297818366535 |
Real period |
R |
1.5855896872017 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985463 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36600f1 14640h1 |
Quadratic twists by: -4 5 |