Atkin-Lehner |
2- 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
25872cb |
Isogeny class |
Conductor |
25872 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
6465827318577758208 = 219 · 34 · 712 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 4 7- 11- 6 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5836896,5428332288] |
[a1,a2,a3,a4,a6] |
j |
45637459887836881/13417633152 |
j-invariant |
L |
3.7199218538408 |
L(r)(E,1)/r! |
Ω |
0.23249511586504 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3234u2 103488id2 77616fv2 3696x2 |
Quadratic twists by: -4 8 -3 -7 |