Atkin-Lehner |
2- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
106400bv |
Isogeny class |
Conductor |
106400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
79872 |
Modular degree for the optimal curve |
Δ |
442225000000 = 26 · 58 · 72 · 192 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 0 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2425,-33000] |
[a1,a2,a3,a4,a6] |
Generators |
[2130:34125:8] |
Generators of the group modulo torsion |
j |
1577098944/442225 |
j-invariant |
L |
6.465251166741 |
L(r)(E,1)/r! |
Ω |
0.69477151771373 |
Real period |
R |
4.6527894312905 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000026574 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
106400bp1 21280f1 |
Quadratic twists by: -4 5 |