Atkin-Lehner |
2+ 17+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
24208a |
Isogeny class |
Conductor |
24208 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
37135375665152 = 211 · 172 · 894 |
Discriminant |
Eigenvalues |
2+ -2 0 -4 2 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-44928,3638740] |
[a1,a2,a3,a4,a6] |
Generators |
[1066:1513:8] [116:38:1] |
Generators of the group modulo torsion |
j |
4897277172373250/18132507649 |
j-invariant |
L |
5.280236593941 |
L(r)(E,1)/r! |
Ω |
0.6527180740906 |
Real period |
R |
2.0224032409772 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12104a2 96832t2 |
Quadratic twists by: -4 8 |