Atkin-Lehner |
2- 3- 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
7548g |
Isogeny class |
Conductor |
7548 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
167040 |
Modular degree for the optimal curve |
Δ |
-572223102290355456 = -1 · 28 · 38 · 173 · 375 |
Discriminant |
Eigenvalues |
2- 3- 1 5 5 0 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2328580,-1368941788] |
[a1,a2,a3,a4,a6] |
j |
-5454531100825187584336/2235246493321701 |
j-invariant |
L |
4.3996545042796 |
L(r)(E,1)/r! |
Ω |
0.06110631255944 |
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 |
30192p1 120768r1 22644b1 128316c1 |
Quadratic twists by: -4 8 -3 17 |