Atkin-Lehner |
2+ 3- 5- 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
60390k |
Isogeny class |
Conductor |
60390 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-1898521954164000 = -1 · 25 · 312 · 53 · 114 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 11+ 1 -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,10971,-2051915] |
[a1,a2,a3,a4,a6] |
Generators |
[401:7967:1] |
Generators of the group modulo torsion |
j |
200314580486831/2604282516000 |
j-invariant |
L |
4.4547338539784 |
L(r)(E,1)/r! |
Ω |
0.22960467220445 |
Real period |
R |
1.6168130098815 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000408 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20130m1 |
Quadratic twists by: -3 |