Atkin-Lehner |
3+ 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
24675l |
Isogeny class |
Conductor |
24675 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
268800 |
Modular degree for the optimal curve |
Δ |
-59628321298546875 = -1 · 37 · 56 · 75 · 473 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 7- 1 2 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-51658,12604968] |
[a1,a2,a3,a4,a6] |
Generators |
[-108:4112:1] |
Generators of the group modulo torsion |
j |
-975719213461504/3816212563107 |
j-invariant |
L |
2.4142685865843 |
L(r)(E,1)/r! |
Ω |
0.30665215824477 |
Real period |
R |
0.26243291426168 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74025n1 987d1 |
Quadratic twists by: -3 5 |