Atkin-Lehner |
2+ 3+ 5- 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
118950o |
Isogeny class |
Conductor |
118950 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
443520 |
Modular degree for the optimal curve |
Δ |
-438992409375000 = -1 · 23 · 311 · 58 · 13 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 -1 13+ 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-9700,1069000] |
[a1,a2,a3,a4,a6] |
Generators |
[3633:335579:343] |
Generators of the group modulo torsion |
j |
-258433515625/1123820568 |
j-invariant |
L |
4.1223426301524 |
L(r)(E,1)/r! |
Ω |
0.46040187915217 |
Real period |
R |
8.9537920747989 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998383862 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118950bu1 |
Quadratic twists by: 5 |