Atkin-Lehner |
2+ 37+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
101824c |
Isogeny class |
Conductor |
101824 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
2072504516608 = 214 · 37 · 434 |
Discriminant |
Eigenvalues |
2+ -3 4 1 3 4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5488,140320] |
[a1,a2,a3,a4,a6] |
j |
1115696526336/126495637 |
j-invariant |
L |
3.1992749083939 |
L(r)(E,1)/r! |
Ω |
0.79981877259396 |
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 |
101824g1 12728b1 |
Quadratic twists by: -4 8 |