Atkin-Lehner |
3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
7497a |
Isogeny class |
Conductor |
7497 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-39366649539 = -1 · 39 · 76 · 17 |
Discriminant |
Eigenvalues |
2 3+ -1 7- 3 5 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1323,20837] |
[a1,a2,a3,a4,a6] |
j |
-110592/17 |
j-invariant |
L |
4.4399795197835 |
L(r)(E,1)/r! |
Ω |
1.1099948799459 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119952cn1 7497b1 153d1 127449k1 |
Quadratic twists by: -4 -3 -7 17 |