Atkin-Lehner |
2- 3- 5- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
60030bs |
Isogeny class |
Conductor |
60030 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
5283037974888000 = 26 · 316 · 53 · 232 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -6 4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-365387,-84848101] |
[a1,a2,a3,a4,a6] |
Generators |
[-353:406:1] |
Generators of the group modulo torsion |
j |
7400385515776624489/7246965672000 |
j-invariant |
L |
9.214559250977 |
L(r)(E,1)/r! |
Ω |
0.19419449208963 |
Real period |
R |
1.3180599327472 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000401 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20010i1 |
Quadratic twists by: -3 |