Atkin-Lehner |
2- 3- 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
55104cw |
Isogeny class |
Conductor |
55104 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
-18282184704 = -1 · 218 · 35 · 7 · 41 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ -2 -5 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-449,-7617] |
[a1,a2,a3,a4,a6] |
Generators |
[31:96:1] |
Generators of the group modulo torsion |
j |
-38272753/69741 |
j-invariant |
L |
8.4914762602778 |
L(r)(E,1)/r! |
Ω |
0.48885085194147 |
Real period |
R |
0.8685140085829 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998833 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55104o1 13776f1 |
Quadratic twists by: -4 8 |