Atkin-Lehner |
2- 3- 29+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
49068a |
Isogeny class |
Conductor |
49068 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
213120 |
Modular degree for the optimal curve |
Δ |
-2073727227473712 = -1 · 24 · 316 · 29 · 473 |
Discriminant |
Eigenvalues |
2- 3- 0 -3 -3 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-51420,-4994179] |
[a1,a2,a3,a4,a6] |
Generators |
[169187:69590522:1] |
Generators of the group modulo torsion |
j |
-1289057880064000/177788685483 |
j-invariant |
L |
3.7880078015427 |
L(r)(E,1)/r! |
Ω |
0.15731520410406 |
Real period |
R |
12.039547681069 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000018 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16356c1 |
Quadratic twists by: -3 |