Atkin-Lehner |
2+ 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
49600f |
Isogeny class |
Conductor |
49600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
760320 |
Modular degree for the optimal curve |
Δ |
-162529280000000000 = -1 · 229 · 510 · 31 |
Discriminant |
Eigenvalues |
2+ 0 5+ 5 -5 -7 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-227500,-46050000] |
[a1,a2,a3,a4,a6] |
Generators |
[1567820842:30944326656:2048383] |
Generators of the group modulo torsion |
j |
-508660425/63488 |
j-invariant |
L |
5.4949299225812 |
L(r)(E,1)/r! |
Ω |
0.10854304829124 |
Real period |
R |
12.656107436327 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000036 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49600cc1 1550f1 49600bd1 |
Quadratic twists by: -4 8 5 |