Atkin-Lehner |
2- 3+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
49104ba |
Isogeny class |
Conductor |
49104 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
3409002381312 = 214 · 39 · 11 · 312 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 11- 0 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-94851,11243394] |
[a1,a2,a3,a4,a6] |
Generators |
[175:62:1] |
Generators of the group modulo torsion |
j |
1170572220819/42284 |
j-invariant |
L |
3.5116661911529 |
L(r)(E,1)/r! |
Ω |
0.74195537643854 |
Real period |
R |
1.1832471003872 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6138a1 49104y1 |
Quadratic twists by: -4 -3 |