Atkin-Lehner |
2+ 3+ 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
74400t |
Isogeny class |
Conductor |
74400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
17856000 = 29 · 32 · 53 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -2 4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1648,-25208] |
[a1,a2,a3,a4,a6] |
Generators |
[2847:26486:27] |
Generators of the group modulo torsion |
j |
7738893352/279 |
j-invariant |
L |
5.2850256093406 |
L(r)(E,1)/r! |
Ω |
0.74927153475085 |
Real period |
R |
7.0535518346379 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001432 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74400cv2 74400cy2 |
Quadratic twists by: -4 5 |