Atkin-Lehner |
2+ 3+ 5- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
113850p |
Isogeny class |
Conductor |
113850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
-11637838080000 = -1 · 211 · 33 · 54 · 114 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 3 11+ -4 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2883,-153659] |
[a1,a2,a3,a4,a6] |
j |
157010653125/689649664 |
j-invariant |
L |
1.4465460574865 |
L(r)(E,1)/r! |
Ω |
0.36163656244055 |
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 |
113850dt1 113850di1 |
Quadratic twists by: -3 5 |