Atkin-Lehner |
2+ 3+ 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
24990q |
Isogeny class |
Conductor |
24990 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
-36414600831000000 = -1 · 26 · 32 · 56 · 77 · 173 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -6 -2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-13892,9196944] |
[a1,a2,a3,a4,a6] |
Generators |
[-197:-1984:1] [-217:1541:1] |
Generators of the group modulo torsion |
j |
-2520453225529/309519000000 |
j-invariant |
L |
5.2839217739007 |
L(r)(E,1)/r! |
Ω |
0.30011991948171 |
Real period |
R |
0.24452826237602 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74970cq3 124950hv3 3570j3 |
Quadratic twists by: -3 5 -7 |