Atkin-Lehner |
3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
7497o |
Isogeny class |
Conductor |
7497 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
24786408969 = 36 · 76 · 172 |
Discriminant |
Eigenvalues |
1 3- -2 7- 0 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2508,-47125] |
[a1,a2,a3,a4,a6] |
j |
20346417/289 |
j-invariant |
L |
1.350401919387 |
L(r)(E,1)/r! |
Ω |
0.67520095969349 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
119952go2 833a2 153c2 127449bh2 |
Quadratic twists by: -4 -3 -7 17 |