Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
29040ba |
Isogeny class |
Conductor |
29040 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
112512689459280 = 24 · 38 · 5 · 118 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11- 4 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1322691,-585952776] |
[a1,a2,a3,a4,a6] |
Generators |
[1452:23598:1] |
Generators of the group modulo torsion |
j |
9028656748079104/3969405 |
j-invariant |
L |
6.304089011158 |
L(r)(E,1)/r! |
Ω |
0.14077804802683 |
Real period |
R |
5.5975426384982 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14520c1 116160gt1 87120ci1 2640h1 |
Quadratic twists by: -4 8 -3 -11 |