Atkin-Lehner |
3+ 5+ 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
41475h |
Isogeny class |
Conductor |
41475 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
3168000 |
Modular degree for the optimal curve |
Δ |
3.2551793780491E+21 |
Discriminant |
Eigenvalues |
2 3+ 5+ 7- 1 5 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-9625658,-11158809157] |
[a1,a2,a3,a4,a6] |
Generators |
[1891144:31000469:512] |
Generators of the group modulo torsion |
j |
6312407288015085727744/208331480195142885 |
j-invariant |
L |
10.84075444495 |
L(r)(E,1)/r! |
Ω |
0.085885627022578 |
Real period |
R |
3.1555787681737 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124425r1 8295f1 |
Quadratic twists by: -3 5 |