Atkin-Lehner |
2+ 3+ 23- 61- |
Signs for the Atkin-Lehner involutions |
Class |
25254b |
Isogeny class |
Conductor |
25254 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
89856 |
Modular degree for the optimal curve |
Δ |
-15604166987712 = -1 · 26 · 33 · 236 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 0 2 0 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-97332,11713680] |
[a1,a2,a3,a4,a6] |
Generators |
[602199:4884966:2197] |
Generators of the group modulo torsion |
j |
-3776847071816230875/577932110656 |
j-invariant |
L |
4.4022192378366 |
L(r)(E,1)/r! |
Ω |
0.67507554074739 |
Real period |
R |
9.7816147352105 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
25254k3 |
Quadratic twists by: -3 |