Atkin-Lehner |
3+ 5+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
32025h |
Isogeny class |
Conductor |
32025 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
699840 |
Modular degree for the optimal curve |
Δ |
-8.9095262882125E+19 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 4 2 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-407225,-465189750] |
[a1,a2,a3,a4,a6] |
j |
-477978815192585617/5702096824455969 |
j-invariant |
L |
2.1979392859439 |
L(r)(E,1)/r! |
Ω |
0.08140515873887 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96075bd1 1281c1 |
Quadratic twists by: -3 5 |