Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
61152q |
Isogeny class |
Conductor |
61152 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-284512575791808 = -1 · 26 · 33 · 78 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 6 13+ -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17558,1202676] |
[a1,a2,a3,a4,a6] |
Generators |
[10:1014:1] |
Generators of the group modulo torsion |
j |
-79507000000/37786203 |
j-invariant |
L |
8.5302411797567 |
L(r)(E,1)/r! |
Ω |
0.51181720419168 |
Real period |
R |
1.388881471324 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000559 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61152bd1 122304bp2 8736c1 |
Quadratic twists by: -4 8 -7 |