Atkin-Lehner |
2+ 3- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
48960df |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-2974320000000 = -1 · 210 · 37 · 57 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 3 4 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-44292,-3588824] |
[a1,a2,a3,a4,a6] |
j |
-12872772702976/3984375 |
j-invariant |
L |
2.3036060380109 |
L(r)(E,1)/r! |
Ω |
0.16454328839485 |
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 |
48960fx1 3060j1 16320x1 |
Quadratic twists by: -4 8 -3 |