Atkin-Lehner |
3+ 5+ 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
41325f |
Isogeny class |
Conductor |
41325 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
133200 |
Modular degree for the optimal curve |
Δ |
-472025126953125 = -1 · 35 · 510 · 193 · 29 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 2 2 0 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-47513,-4140844] |
[a1,a2,a3,a4,a6] |
Generators |
[574:12287:1] |
Generators of the group modulo torsion |
j |
-1214679211225/48335373 |
j-invariant |
L |
3.1709733386797 |
L(r)(E,1)/r! |
Ω |
0.1613075387706 |
Real period |
R |
6.5526454680942 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999872 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123975z1 41325o1 |
Quadratic twists by: -3 5 |