Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
19600ck |
Isogeny class |
Conductor |
19600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-2834695618764800 = -1 · 213 · 52 · 712 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- -3 2 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-35688,-3634448] |
[a1,a2,a3,a4,a6] |
Generators |
[348:5096:1] |
Generators of the group modulo torsion |
j |
-417267265/235298 |
j-invariant |
L |
3.5708929711149 |
L(r)(E,1)/r! |
Ω |
0.16925476774168 |
Real period |
R |
2.6372174169451 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2450f2 78400hk2 19600du2 2800u2 |
Quadratic twists by: -4 8 5 -7 |