Atkin-Lehner |
2+ 3+ 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
24150t |
Isogeny class |
Conductor |
24150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
3803625000000 = 26 · 33 · 59 · 72 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -4 -4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3950,16500] |
[a1,a2,a3,a4,a6] |
Generators |
[-65:95:1] |
Generators of the group modulo torsion |
j |
3491055413/1947456 |
j-invariant |
L |
2.885096094936 |
L(r)(E,1)/r! |
Ω |
0.67993923761513 |
Real period |
R |
2.121583764643 |
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 |
72450fa1 24150cp1 |
Quadratic twists by: -3 5 |