Atkin-Lehner |
3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
24843k |
Isogeny class |
Conductor |
24843 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-39097681689339 = -1 · 32 · 711 · 133 |
Discriminant |
Eigenvalues |
-2 3+ 3 7- 0 13- -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-3150814,-2151643908] |
[a1,a2,a3,a4,a6] |
Generators |
[2050:331:1] |
Generators of the group modulo torsion |
j |
-13383627864961024/151263 |
j-invariant |
L |
2.8098525165718 |
L(r)(E,1)/r! |
Ω |
0.056658341223824 |
Real period |
R |
6.1991148520208 |
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 |
74529bp2 3549b2 24843j2 |
Quadratic twists by: -3 -7 13 |