Atkin-Lehner |
2- 3+ 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
38640bm |
Isogeny class |
Conductor |
38640 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
686802816000000 = 213 · 32 · 56 · 72 · 233 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -6 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2077376,1153138560] |
[a1,a2,a3,a4,a6] |
Generators |
[826:322:1] |
Generators of the group modulo torsion |
j |
242052349717010282689/167676468750 |
j-invariant |
L |
3.369744744666 |
L(r)(E,1)/r! |
Ω |
0.42210974262599 |
Real period |
R |
0.66525842381326 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999969 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4830be4 115920eg4 |
Quadratic twists by: -4 -3 |