Atkin-Lehner |
2- 5- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
49610bb |
Isogeny class |
Conductor |
49610 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
18158500250000 = 24 · 56 · 116 · 41 |
Discriminant |
Eigenvalues |
2- -2 5- -2 11- 4 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-20270,-1093388] |
[a1,a2,a3,a4,a6] |
Generators |
[-86:168:1] |
Generators of the group modulo torsion |
j |
519912412921/10250000 |
j-invariant |
L |
6.0610599208622 |
L(r)(E,1)/r! |
Ω |
0.40059568150565 |
Real period |
R |
1.2608431644598 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
410c1 |
Quadratic twists by: -11 |