Atkin-Lehner |
2- 3- 5- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
128700bs |
Isogeny class |
Conductor |
128700 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
156672 |
Modular degree for the optimal curve |
Δ |
-5073909984000 = -1 · 28 · 38 · 53 · 11 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11+ 13- -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2760,92900] |
[a1,a2,a3,a4,a6] |
Generators |
[100:1170:1] |
Generators of the group modulo torsion |
j |
99672064/217503 |
j-invariant |
L |
7.9525644808583 |
L(r)(E,1)/r! |
Ω |
0.53228689881561 |
Real period |
R |
0.41501033811878 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000138479 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42900s1 128700bj1 |
Quadratic twists by: -3 5 |