Atkin-Lehner |
2- 5+ 23+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
49450k |
Isogeny class |
Conductor |
49450 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4170240 |
Modular degree for the optimal curve |
Δ |
-6386486816406250 = -1 · 2 · 514 · 233 · 43 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 6 6 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-95252980,-357797305103] |
[a1,a2,a3,a4,a6] |
j |
-6117012899984274413660361/408735156250 |
j-invariant |
L |
5.8474333783357 |
L(r)(E,1)/r! |
Ω |
0.024162947845299 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
121 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9890e1 |
Quadratic twists by: 5 |