Atkin-Lehner |
2- 3+ 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
71400db |
Isogeny class |
Conductor |
71400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
23808000 |
Modular degree for the optimal curve |
Δ |
-1.2002219686323E+25 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -6 4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-236146708,1406746389412] |
[a1,a2,a3,a4,a6] |
Generators |
[151284:13753250:27] |
Generators of the group modulo torsion |
j |
-2912724418390669788176/24004439372646243 |
j-invariant |
L |
4.0409138447711 |
L(r)(E,1)/r! |
Ω |
0.071756079865614 |
Real period |
R |
7.0393231000357 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000601 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71400ca1 |
Quadratic twists by: 5 |