Atkin-Lehner |
5+ 23- 59- |
Signs for the Atkin-Lehner involutions |
Class |
33925d |
Isogeny class |
Conductor |
33925 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
19440 |
Modular degree for the optimal curve |
Δ |
13251953125 = 510 · 23 · 59 |
Discriminant |
Eigenvalues |
-2 0 5+ 2 3 0 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-625,-2344] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:34:1] |
Generators of the group modulo torsion |
j |
2764800/1357 |
j-invariant |
L |
3.2264604579931 |
L(r)(E,1)/r! |
Ω |
1.0037055659019 |
Real period |
R |
3.2145487358069 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33925e1 |
Quadratic twists by: 5 |