Atkin-Lehner |
2- 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
55660ba |
Isogeny class |
Conductor |
55660 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
52272 |
Modular degree for the optimal curve |
Δ |
-394420341040 = -1 · 24 · 5 · 118 · 23 |
Discriminant |
Eigenvalues |
2- 2 5- 1 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1775,-9810] |
[a1,a2,a3,a4,a6] |
Generators |
[46206:429066:4913] |
Generators of the group modulo torsion |
j |
180224/115 |
j-invariant |
L |
10.257947855501 |
L(r)(E,1)/r! |
Ω |
0.54413581532247 |
Real period |
R |
6.2839384130999 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999575 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55660bb1 |
Quadratic twists by: -11 |