Atkin-Lehner |
2+ 3- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
61248w |
Isogeny class |
Conductor |
61248 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
Δ |
-4399677629005824 = -1 · 218 · 314 · 112 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 11- -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-22177,3427775] |
[a1,a2,a3,a4,a6] |
Generators |
[98:1485:1] |
Generators of the group modulo torsion |
j |
-4601630708137/16783438221 |
j-invariant |
L |
8.7747160097401 |
L(r)(E,1)/r! |
Ω |
0.38179195751241 |
Real period |
R |
1.6416412575923 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999657 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61248bi2 957a2 |
Quadratic twists by: -4 8 |