Atkin-Lehner |
2- 3+ 37+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
97236c |
Isogeny class |
Conductor |
97236 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-850620528 = -1 · 24 · 39 · 37 · 73 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 3 -5 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-81,-1431] |
[a1,a2,a3,a4,a6] |
Generators |
[15:27:1] [16:37:1] |
Generators of the group modulo torsion |
j |
-186624/2701 |
j-invariant |
L |
9.3546297185857 |
L(r)(E,1)/r! |
Ω |
0.67771117574221 |
Real period |
R |
2.3005448471761 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999991675 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97236a1 |
Quadratic twists by: -3 |