Atkin-Lehner |
3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
7497m |
Isogeny class |
Conductor |
7497 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4800 |
Modular degree for the optimal curve |
Δ |
-2508578667 = -1 · 311 · 72 · 172 |
Discriminant |
Eigenvalues |
0 3- 4 7- -4 -1 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-588,-5994] |
[a1,a2,a3,a4,a6] |
j |
-629407744/70227 |
j-invariant |
L |
1.9269203247763 |
L(r)(E,1)/r! |
Ω |
0.48173008119407 |
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 |
119952ha1 2499l1 7497c1 127449bd1 |
Quadratic twists by: -4 -3 -7 17 |