Atkin-Lehner |
2+ 3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
24990bg |
Isogeny class |
Conductor |
24990 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
362880 |
Modular degree for the optimal curve |
Δ |
-97464125891543040 = -1 · 218 · 37 · 5 · 76 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 -4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-131003,-23647354] |
[a1,a2,a3,a4,a6] |
j |
-2113364608155289/828431400960 |
j-invariant |
L |
1.7232004211011 |
L(r)(E,1)/r! |
Ω |
0.12308574436436 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74970da1 124950fz1 510a1 |
Quadratic twists by: -3 5 -7 |