Atkin-Lehner |
2- 3+ 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
73200bz |
Isogeny class |
Conductor |
73200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1094400 |
Modular degree for the optimal curve |
Δ |
-47972352000000000 = -1 · 227 · 3 · 59 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 -4 5 -8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-438208,112294912] |
[a1,a2,a3,a4,a6] |
Generators |
[2592:128000:1] |
Generators of the group modulo torsion |
j |
-1163256858413/5996544 |
j-invariant |
L |
4.1649029762119 |
L(r)(E,1)/r! |
Ω |
0.35957591588652 |
Real period |
R |
1.4478524536037 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991044 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9150z1 73200cy1 |
Quadratic twists by: -4 5 |