Atkin-Lehner |
2- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
19600bu |
Isogeny class |
Conductor |
19600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-1200500000000 = -1 · 28 · 59 · 74 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ -6 -2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-24908,-1522312] |
[a1,a2,a3,a4,a6] |
j |
-177953104/125 |
j-invariant |
L |
1.1400301746888 |
L(r)(E,1)/r! |
Ω |
0.19000502911481 |
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 |
4900b1 78400gf1 3920q1 19600cm1 |
Quadratic twists by: -4 8 5 -7 |