Atkin-Lehner |
2+ 5- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
103400s |
Isogeny class |
Conductor |
103400 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
532224 |
Modular degree for the optimal curve |
Δ |
146543525920000 = 28 · 54 · 117 · 47 |
Discriminant |
Eigenvalues |
2+ -1 5- 0 11- 3 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-241108,-45484588] |
[a1,a2,a3,a4,a6] |
j |
9688139696894800/915897037 |
j-invariant |
L |
3.0163174545325 |
L(r)(E,1)/r! |
Ω |
0.21545122266842 |
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 |
103400bb1 |
Quadratic twists by: 5 |