Atkin-Lehner |
2- 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
61152bw |
Isogeny class |
Conductor |
61152 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
29184 |
Modular degree for the optimal curve |
Δ |
-61641216 = -1 · 29 · 33 · 73 · 13 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 3 13+ -7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-352,2456] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:6:1] [2:42:1] |
Generators of the group modulo torsion |
j |
-27543608/351 |
j-invariant |
L |
10.315902299487 |
L(r)(E,1)/r! |
Ω |
1.9767742856236 |
Real period |
R |
0.43487945548952 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999949 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61152g1 122304cf1 61152bm1 |
Quadratic twists by: -4 8 -7 |