Atkin-Lehner |
2- 5- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
129200df |
Isogeny class |
Conductor |
129200 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
129600 |
Modular degree for the optimal curve |
Δ |
-728768750000 = -1 · 24 · 58 · 17 · 193 |
Discriminant |
Eigenvalues |
2- -1 5- 2 -4 0 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3333,-83588] |
[a1,a2,a3,a4,a6] |
Generators |
[1788:75544:1] |
Generators of the group modulo torsion |
j |
-655360000/116603 |
j-invariant |
L |
5.1755289213224 |
L(r)(E,1)/r! |
Ω |
0.31114438409116 |
Real period |
R |
5.5446167066171 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997502026 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32300r1 129200br1 |
Quadratic twists by: -4 5 |