Atkin-Lehner |
2- 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
61152bm |
Isogeny class |
Conductor |
61152 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
204288 |
Modular degree for the optimal curve |
Δ |
-7252027421184 = -1 · 29 · 33 · 79 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 3 13- 7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17264,-876924] |
[a1,a2,a3,a4,a6] |
j |
-27543608/351 |
j-invariant |
L |
3.3294513408293 |
L(r)(E,1)/r! |
Ω |
0.20809070828358 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61152x1 122304dv1 61152bw1 |
Quadratic twists by: -4 8 -7 |