Atkin-Lehner |
2- 3- 5- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
15180o |
Isogeny class |
Conductor |
15180 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
390720 |
Modular degree for the optimal curve |
Δ |
4.2271579993299E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11+ -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1626545,734080500] |
[a1,a2,a3,a4,a6] |
Generators |
[400:12150:1] |
Generators of the group modulo torsion |
j |
29744196765412662132736/2641973749581174525 |
j-invariant |
L |
6.7029805133992 |
L(r)(E,1)/r! |
Ω |
0.19811144087496 |
Real period |
R |
3.0758539848241 |
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 |
60720bu1 45540l1 75900b1 |
Quadratic twists by: -4 -3 5 |