Atkin-Lehner |
2- 3+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
3504q |
Isogeny class |
Conductor |
3504 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
2856337877973860352 = 221 · 32 · 736 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 6 -4 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-522888,-120523536] |
[a1,a2,a3,a4,a6] |
Generators |
[1274:35770:1] |
Generators of the group modulo torsion |
j |
3860029467400479625/697348114739712 |
j-invariant |
L |
3.4032279367981 |
L(r)(E,1)/r! |
Ω |
0.17974639538918 |
Real period |
R |
3.1555829250702 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
438d4 14016ca4 10512t4 87600ch4 |
Quadratic twists by: -4 8 -3 5 |