Atkin-Lehner |
3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
7497j |
Isogeny class |
Conductor |
7497 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-61941236013531 = -1 · 37 · 78 · 173 |
Discriminant |
Eigenvalues |
-2 3- 1 7- -1 -1 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,8673,-216176] |
[a1,a2,a3,a4,a6] |
Generators |
[28:220:1] |
Generators of the group modulo torsion |
j |
841232384/722211 |
j-invariant |
L |
2.205149236009 |
L(r)(E,1)/r! |
Ω |
0.34327525689226 |
Real period |
R |
1.6059628474046 |
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 |
119952eo1 2499f1 1071b1 127449bp1 |
Quadratic twists by: -4 -3 -7 17 |