Atkin-Lehner |
2- 3- 5- 23- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
32430bg |
Isogeny class |
Conductor |
32430 |
Conductor |
∏ cp |
672 |
Product of Tamagawa factors cp |
deg |
139776 |
Modular degree for the optimal curve |
Δ |
-81780573024000 = -1 · 28 · 37 · 53 · 232 · 472 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 0 -4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-70,-435100] |
[a1,a2,a3,a4,a6] |
Generators |
[170:-2200:1] |
Generators of the group modulo torsion |
j |
-37966934881/81780573024000 |
j-invariant |
L |
10.663396093138 |
L(r)(E,1)/r! |
Ω |
0.27864931022973 |
Real period |
R |
0.22778666037305 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97290i1 |
Quadratic twists by: -3 |