Atkin-Lehner |
2- 3+ 37+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
97236d |
Isogeny class |
Conductor |
97236 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-31472959536 = -1 · 24 · 39 · 372 · 73 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 4 0 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,324,-8235] |
[a1,a2,a3,a4,a6] |
j |
11943936/99937 |
j-invariant |
L |
2.3229733885442 |
L(r)(E,1)/r! |
Ω |
0.58074330474101 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97236b1 |
Quadratic twists by: -3 |