Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
103488dy |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
145847436090048 = 26 · 33 · 78 · 114 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11- -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-88412,10072362] |
[a1,a2,a3,a4,a6] |
j |
10150654719808/19370043 |
j-invariant |
L |
3.4818418386784 |
L(r)(E,1)/r! |
Ω |
0.58030694024632 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103488u1 51744l4 14784j1 |
Quadratic twists by: -4 8 -7 |