Atkin-Lehner |
3+ 5+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
21525a |
Isogeny class |
Conductor |
21525 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-149596261171875 = -1 · 34 · 57 · 73 · 413 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7+ 0 4 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1124383,-458527332] |
[a1,a2,a3,a4,a6] |
Generators |
[54366448:4794161908:6859] |
Generators of the group modulo torsion |
j |
-10061132871167082496/9574160715 |
j-invariant |
L |
3.5870587214573 |
L(r)(E,1)/r! |
Ω |
0.073306238306543 |
Real period |
R |
12.233129145358 |
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 |
64575n2 4305l2 |
Quadratic twists by: -3 5 |