Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
30576dc |
Isogeny class |
Conductor |
30576 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
2104896847872 = 216 · 3 · 77 · 13 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 4 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5504,-142668] |
[a1,a2,a3,a4,a6] |
Generators |
[3342:28160:27] |
Generators of the group modulo torsion |
j |
38272753/4368 |
j-invariant |
L |
5.8404935226502 |
L(r)(E,1)/r! |
Ω |
0.55839172185869 |
Real period |
R |
5.2297457985312 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3822x1 122304fi1 91728fo1 4368o1 |
Quadratic twists by: -4 8 -3 -7 |