Atkin-Lehner |
2- 3+ 5- 19+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
116850ca |
Isogeny class |
Conductor |
116850 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
576000 |
Modular degree for the optimal curve |
Δ |
-1655970156000 = -1 · 25 · 312 · 53 · 19 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 -1 7 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-90698,10475831] |
[a1,a2,a3,a4,a6] |
Generators |
[315:3487:1] |
Generators of the group modulo torsion |
j |
-660096043601082101/13247761248 |
j-invariant |
L |
11.553387128107 |
L(r)(E,1)/r! |
Ω |
0.77603885776794 |
Real period |
R |
0.7443819963611 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000038193 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116850bn1 |
Quadratic twists by: 5 |