Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
91200dt |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
9849600000000 = 214 · 34 · 58 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 0 -4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11633,454863] |
[a1,a2,a3,a4,a6] |
Generators |
[103:-600:1] |
Generators of the group modulo torsion |
j |
680136784/38475 |
j-invariant |
L |
9.3329633315208 |
L(r)(E,1)/r! |
Ω |
0.7148578595807 |
Real period |
R |
0.81598068716317 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012607 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91200ff2 5700b2 18240w2 |
Quadratic twists by: -4 8 5 |