Atkin-Lehner |
2+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
115520be |
Isogeny class |
Conductor |
115520 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-12043745536000000 = -1 · 214 · 56 · 196 |
Discriminant |
Eigenvalues |
2+ -2 5- 2 0 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-52465,7002063] |
[a1,a2,a3,a4,a6] |
Generators |
[82:1805:1] |
Generators of the group modulo torsion |
j |
-20720464/15625 |
j-invariant |
L |
5.7607515249615 |
L(r)(E,1)/r! |
Ω |
0.36891831047457 |
Real period |
R |
2.6025416290231 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999316893 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115520cv4 7220c4 320c4 |
Quadratic twists by: -4 8 -19 |