Atkin-Lehner |
2+ 3- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
45120ba |
Isogeny class |
Conductor |
45120 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
51200 |
Modular degree for the optimal curve |
Δ |
-175894364160 = -1 · 216 · 35 · 5 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 2 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1119,-13761] |
[a1,a2,a3,a4,a6] |
Generators |
[27:192:1] |
Generators of the group modulo torsion |
j |
2362358876/2683935 |
j-invariant |
L |
7.2460479053563 |
L(r)(E,1)/r! |
Ω |
0.54688005204864 |
Real period |
R |
1.3249793767771 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45120br1 5640e1 |
Quadratic twists by: -4 8 |