Atkin-Lehner |
2+ 3+ 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
24150m |
Isogeny class |
Conductor |
24150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-11830795200000000 = -1 · 212 · 38 · 58 · 72 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-28525,5540125] |
[a1,a2,a3,a4,a6] |
Generators |
[-149:2626:1] |
Generators of the group modulo torsion |
j |
-164287467238609/757170892800 |
j-invariant |
L |
3.6711030579748 |
L(r)(E,1)/r! |
Ω |
0.34933825725253 |
Real period |
R |
2.6271836692374 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72450ec1 4830ba1 |
Quadratic twists by: -3 5 |