Atkin-Lehner |
2+ 3- 23- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
7314c |
Isogeny class |
Conductor |
7314 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
12960 |
Modular degree for the optimal curve |
Δ |
-30086168256 = -1 · 26 · 36 · 233 · 53 |
Discriminant |
Eigenvalues |
2+ 3- -3 -4 -6 5 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,750,-2588] |
[a1,a2,a3,a4,a6] |
Generators |
[5:33:1] |
Generators of the group modulo torsion |
j |
46745481144167/30086168256 |
j-invariant |
L |
2.3213484635962 |
L(r)(E,1)/r! |
Ω |
0.67312112460793 |
Real period |
R |
0.86215852494166 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
58512h1 21942g1 |
Quadratic twists by: -4 -3 |