Atkin-Lehner |
2+ 3- 23+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
25254f |
Isogeny class |
Conductor |
25254 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
104832 |
Modular degree for the optimal curve |
Δ |
13296951042048 = 213 · 37 · 233 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 4 -1 -5 -2 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6885,134293] |
[a1,a2,a3,a4,a6] |
j |
49515765633361/18239987712 |
j-invariant |
L |
1.2946929913971 |
L(r)(E,1)/r! |
Ω |
0.64734649569847 |
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 |
8418e1 |
Quadratic twists by: -3 |