Atkin-Lehner |
2- 3+ 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
49200ce |
Isogeny class |
Conductor |
49200 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
108864 |
Modular degree for the optimal curve |
Δ |
-116190720000 = -1 · 212 · 33 · 54 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 0 -1 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-55733,-5045763] |
[a1,a2,a3,a4,a6] |
Generators |
[14124:281465:27] |
Generators of the group modulo torsion |
j |
-7478746316800/45387 |
j-invariant |
L |
5.3676953362847 |
L(r)(E,1)/r! |
Ω |
0.15536051288365 |
Real period |
R |
5.7583221938413 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999588 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3075m1 49200ct1 |
Quadratic twists by: -4 5 |