Atkin-Lehner |
3+ 5+ 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
119925f |
Isogeny class |
Conductor |
119925 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
755712 |
Modular degree for the optimal curve |
Δ |
-1331870185546875 = -1 · 39 · 510 · 132 · 41 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 2 3 13- -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,675,-1755844] |
[a1,a2,a3,a4,a6] |
Generators |
[165:1687:1] |
Generators of the group modulo torsion |
j |
110592/4330625 |
j-invariant |
L |
4.0302235852174 |
L(r)(E,1)/r! |
Ω |
0.22216550819936 |
Real period |
R |
2.2675794657978 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000074453 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119925c1 23985b1 |
Quadratic twists by: -3 5 |