Atkin-Lehner |
2+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
25024g |
Isogeny class |
Conductor |
25024 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
-3600653312 = -1 · 210 · 172 · 233 |
Discriminant |
Eigenvalues |
2+ -1 2 4 0 1 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4897,133577] |
[a1,a2,a3,a4,a6] |
j |
-12685358647552/3516263 |
j-invariant |
L |
2.7427991815776 |
L(r)(E,1)/r! |
Ω |
1.3713995907889 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25024t1 3128b1 |
Quadratic twists by: -4 8 |