Atkin-Lehner |
2+ 3+ 5- 19- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
124830l |
Isogeny class |
Conductor |
124830 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
342144 |
Modular degree for the optimal curve |
Δ |
25229864655360 = 29 · 39 · 5 · 193 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 3 0 3 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10599,-340867] |
[a1,a2,a3,a4,a6] |
Generators |
[-61:306:1] |
Generators of the group modulo torsion |
j |
6690370123107/1281809920 |
j-invariant |
L |
7.129951876769 |
L(r)(E,1)/r! |
Ω |
0.47678341673452 |
Real period |
R |
2.4923797038839 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014956 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124830bo1 |
Quadratic twists by: -3 |