Atkin-Lehner |
2- 3- 37+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
97236i |
Isogeny class |
Conductor |
97236 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
22966754256 = 24 · 312 · 37 · 73 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 0 -2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8184,-284875] |
[a1,a2,a3,a4,a6] |
Generators |
[156438468:-9055278485:46656] |
Generators of the group modulo torsion |
j |
5197243482112/1969029 |
j-invariant |
L |
7.680024260635 |
L(r)(E,1)/r! |
Ω |
0.50195874416959 |
Real period |
R |
15.30011053215 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999899231 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32412a1 |
Quadratic twists by: -3 |