Atkin-Lehner |
3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
39675bf |
Isogeny class |
Conductor |
39675 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
253287093018234375 = 32 · 56 · 239 |
Discriminant |
Eigenvalues |
-1 3- 5+ 4 0 2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-14594063,-21460348758] |
[a1,a2,a3,a4,a6] |
Generators |
[198558106996845962470:-257694759994649803468646:117973432766125] |
Generators of the group modulo torsion |
j |
12214672127/9 |
j-invariant |
L |
5.4670786398913 |
L(r)(E,1)/r! |
Ω |
0.077242357360699 |
Real period |
R |
35.389123446637 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999949 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119025bb2 1587b2 39675bg2 |
Quadratic twists by: -3 5 -23 |