Atkin-Lehner |
2+ 3+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
7254c |
Isogeny class |
Conductor |
7254 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-17540172 = -1 · 22 · 33 · 132 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 -2 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,39,169] |
[a1,a2,a3,a4,a6] |
Generators |
[0:13:1] |
Generators of the group modulo torsion |
j |
239483061/649636 |
j-invariant |
L |
3.5599657510217 |
L(r)(E,1)/r! |
Ω |
1.5342393351778 |
Real period |
R |
0.58008644241435 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58032t2 7254k2 94302bj2 |
Quadratic twists by: -4 -3 13 |