Atkin-Lehner |
2- 3- 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
35376bd |
Isogeny class |
Conductor |
35376 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
-3546143304443756544 = -1 · 228 · 3 · 114 · 673 |
Discriminant |
Eigenvalues |
2- 3- -1 -5 11- 0 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6144336,5860851348] |
[a1,a2,a3,a4,a6] |
Generators |
[1364:4422:1] |
Generators of the group modulo torsion |
j |
-6263090762679682219729/865757642686464 |
j-invariant |
L |
4.9410550769329 |
L(r)(E,1)/r! |
Ω |
0.24104687302416 |
Real period |
R |
0.85409651778215 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4422i1 106128bf1 |
Quadratic twists by: -4 -3 |