Atkin-Lehner |
2+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
49096d |
Isogeny class |
Conductor |
49096 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
204743674112 = 28 · 17 · 196 |
Discriminant |
Eigenvalues |
2+ 2 -2 -2 -6 -2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1564,-9132] |
[a1,a2,a3,a4,a6] |
Generators |
[1263:3610:27] |
Generators of the group modulo torsion |
j |
35152/17 |
j-invariant |
L |
5.4835331269842 |
L(r)(E,1)/r! |
Ω |
0.79677540309991 |
Real period |
R |
3.4410783174589 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98192e1 136a1 |
Quadratic twists by: -4 -19 |