Atkin-Lehner |
2- 5- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
49610t |
Isogeny class |
Conductor |
49610 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
627264 |
Modular degree for the optimal curve |
Δ |
-162512112811411000 = -1 · 23 · 53 · 119 · 413 |
Discriminant |
Eigenvalues |
2- 2 5- 0 11+ -3 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,99520,-15129575] |
[a1,a2,a3,a4,a6] |
Generators |
[263:5283:1] |
Generators of the group modulo torsion |
j |
46229625469/68921000 |
j-invariant |
L |
14.375911164654 |
L(r)(E,1)/r! |
Ω |
0.1710975912209 |
Real period |
R |
4.6678724444415 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999914 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49610g1 |
Quadratic twists by: -11 |