Atkin-Lehner |
7- 29- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
58261k |
Isogeny class |
Conductor |
58261 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
191296 |
Modular degree for the optimal curve |
Δ |
-1937220762294307 = -1 · 73 · 29 · 417 |
Discriminant |
Eigenvalues |
1 0 0 7- -3 -7 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2417,-2117508] |
[a1,a2,a3,a4,a6] |
Generators |
[185988:15342104:27] |
Generators of the group modulo torsion |
j |
-4553660109375/5647873942549 |
j-invariant |
L |
4.2529463571081 |
L(r)(E,1)/r! |
Ω |
0.21109625943057 |
Real period |
R |
10.073476357084 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000523 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58261m2 |
Quadratic twists by: -7 |