Atkin-Lehner |
3+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
40425d |
Isogeny class |
Conductor |
40425 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5080320 |
Modular degree for the optimal curve |
Δ |
-1.6223568864387E+22 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ 11+ -1 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-144412825,667937636500] |
[a1,a2,a3,a4,a6] |
Generators |
[29543656573236:-630799148844784:3659383421] |
Generators of the group modulo torsion |
j |
-5916387959190625/288178803 |
j-invariant |
L |
4.7678386626699 |
L(r)(E,1)/r! |
Ω |
0.1167060093821 |
Real period |
R |
20.426705907918 |
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 |
121275ct1 40425cv1 40425cf1 |
Quadratic twists by: -3 5 -7 |