Atkin-Lehner |
2- 5+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
129850cd |
Isogeny class |
Conductor |
129850 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
466944 |
Modular degree for the optimal curve |
Δ |
-150544843750000 = -1 · 24 · 510 · 73 · 532 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 0 4 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-10088,-711719] |
[a1,a2,a3,a4,a6] |
Generators |
[748007:12708591:2197] |
Generators of the group modulo torsion |
j |
-21184951663/28090000 |
j-invariant |
L |
17.518563145047 |
L(r)(E,1)/r! |
Ω |
0.22702724177759 |
Real period |
R |
9.6456282507333 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000073773 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25970i1 129850ch1 |
Quadratic twists by: 5 -7 |