Atkin-Lehner |
2+ 5+ 23- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
49450g |
Isogeny class |
Conductor |
49450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
-61812500 = -1 · 22 · 56 · 23 · 43 |
Discriminant |
Eigenvalues |
2+ -1 5+ 0 -3 1 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-100,500] |
[a1,a2,a3,a4,a6] |
Generators |
[5:-15:1] [-10:30:1] |
Generators of the group modulo torsion |
j |
-7189057/3956 |
j-invariant |
L |
5.839829794478 |
L(r)(E,1)/r! |
Ω |
1.829278605954 |
Real period |
R |
0.39905278612767 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1978d1 |
Quadratic twists by: 5 |