Atkin-Lehner |
3+ 5- 23- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
63135d |
Isogeny class |
Conductor |
63135 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
690381225 = 39 · 52 · 23 · 61 |
Discriminant |
Eigenvalues |
1 3+ 5- -4 -2 -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-202029,-34901272] |
[a1,a2,a3,a4,a6] |
Generators |
[881654523156:2934175121857:1676676672] |
Generators of the group modulo torsion |
j |
46331330428143747/35075 |
j-invariant |
L |
4.6897402475914 |
L(r)(E,1)/r! |
Ω |
0.22518840528522 |
Real period |
R |
20.825851321105 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997539 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63135a2 |
Quadratic twists by: -3 |