Atkin-Lehner |
2+ 3+ 11- 83- |
Signs for the Atkin-Lehner involutions |
Class |
60258j |
Isogeny class |
Conductor |
60258 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
747648 |
Modular degree for the optimal curve |
Δ |
-850589758776384 = -1 · 26 · 32 · 118 · 832 |
Discriminant |
Eigenvalues |
2+ 3+ 3 4 11- 1 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-162021,25073613] |
[a1,a2,a3,a4,a6] |
Generators |
[242:211:1] |
Generators of the group modulo torsion |
j |
-2194321933177/3968064 |
j-invariant |
L |
5.9094155552219 |
L(r)(E,1)/r! |
Ω |
0.50079159931213 |
Real period |
R |
1.4750186412522 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000472 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60258s1 |
Quadratic twists by: -11 |