Atkin-Lehner |
2- 3- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
24108h |
Isogeny class |
Conductor |
24108 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-80051225764608 = -1 · 28 · 33 · 710 · 41 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -3 4 -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9669,-568233] |
[a1,a2,a3,a4,a6] |
j |
-3319595008/2657907 |
j-invariant |
L |
1.3965058504354 |
L(r)(E,1)/r! |
Ω |
0.23275097507259 |
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 |
96432bc1 72324r1 3444b1 |
Quadratic twists by: -4 -3 -7 |