Atkin-Lehner |
5+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
79895a |
Isogeny class |
Conductor |
79895 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1628640 |
Modular degree for the optimal curve |
Δ |
-85779753662487475 = -1 · 52 · 193 · 298 |
Discriminant |
Eigenvalues |
2 0 5+ -5 3 -4 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-170723,30589903] |
[a1,a2,a3,a4,a6] |
Generators |
[1682:15975:8] [12178:459431:8] |
Generators of the group modulo torsion |
j |
-1100058624/171475 |
j-invariant |
L |
16.720852024281 |
L(r)(E,1)/r! |
Ω |
0.3288320073687 |
Real period |
R |
8.4748704757035 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999936 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79895c1 |
Quadratic twists by: 29 |