Atkin-Lehner |
2- 3+ 5- 23- 47- |
Signs for the Atkin-Lehner involutions |
Class |
32430x |
Isogeny class |
Conductor |
32430 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
29952 |
Modular degree for the optimal curve |
Δ |
-1121818560 = -1 · 26 · 3 · 5 · 232 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 -6 -6 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,40,1625] |
[a1,a2,a3,a4,a6] |
Generators |
[25:125:1] |
Generators of the group modulo torsion |
j |
7066834559/1121818560 |
j-invariant |
L |
7.5072652992462 |
L(r)(E,1)/r! |
Ω |
1.1919406314757 |
Real period |
R |
1.0497258421828 |
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 |
97290d1 |
Quadratic twists by: -3 |