Atkin-Lehner |
2- 3- 5+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
77520cp |
Isogeny class |
Conductor |
77520 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
46385115264000000 = 213 · 310 · 56 · 17 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 -4 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1037256,406131444] |
[a1,a2,a3,a4,a6] |
Generators |
[204:14250:1] |
Generators of the group modulo torsion |
j |
30131590037173969609/11324491031250 |
j-invariant |
L |
6.4013885199286 |
L(r)(E,1)/r! |
Ω |
0.35224009965031 |
Real period |
R |
0.90866833834199 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999984306 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9690c2 |
Quadratic twists by: -4 |