Atkin-Lehner |
2+ 3- 5- 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
60390n |
Isogeny class |
Conductor |
60390 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
10752000 |
Modular degree for the optimal curve |
Δ |
-8.7691665890541E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 11+ 6 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8655579,17295494053] |
[a1,a2,a3,a4,a6] |
j |
-98374963836869895073969/120290351015831040000 |
j-invariant |
L |
3.1136241200002 |
L(r)(E,1)/r! |
Ω |
0.097300753682191 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20130n1 |
Quadratic twists by: -3 |