Atkin-Lehner |
2- 3+ 5- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
10950x |
Isogeny class |
Conductor |
10950 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-8719073280000 = -1 · 218 · 36 · 54 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -3 0 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1937,-137419] |
[a1,a2,a3,a4,a6] |
Generators |
[59:402:1] |
Generators of the group modulo torsion |
j |
1285933598975/13950517248 |
j-invariant |
L |
5.7754500140744 |
L(r)(E,1)/r! |
Ω |
0.36109696696718 |
Real period |
R |
0.44428278754333 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87600cr1 32850z1 10950l1 |
Quadratic twists by: -4 -3 5 |