Atkin-Lehner |
2+ 3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
24990g |
Isogeny class |
Conductor |
24990 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-50400831600 = -1 · 24 · 32 · 52 · 77 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 -4 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-858,14148] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:123:1] |
Generators of the group modulo torsion |
j |
-594823321/428400 |
j-invariant |
L |
3.1444297190797 |
L(r)(E,1)/r! |
Ω |
1.0370245068696 |
Real period |
R |
0.37902066178885 |
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 |
74970dq1 124950ho1 3570o1 |
Quadratic twists by: -3 5 -7 |