Atkin-Lehner |
2+ 3+ 11- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
60258f |
Isogeny class |
Conductor |
60258 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1382400 |
Modular degree for the optimal curve |
Δ |
1509513291908489472 = 28 · 3 · 1111 · 832 |
Discriminant |
Eigenvalues |
2+ 3+ 0 4 11- -4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1164385,479496373] |
[a1,a2,a3,a4,a6] |
j |
98550308967792625/852080900352 |
j-invariant |
L |
0.53932407785213 |
L(r)(E,1)/r! |
Ω |
0.26966203923236 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5478k1 |
Quadratic twists by: -11 |