Atkin-Lehner |
2- 5+ 29+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
85840b |
Isogeny class |
Conductor |
85840 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
314496 |
Modular degree for the optimal curve |
Δ |
-5875748000000 = -1 · 28 · 56 · 29 · 373 |
Discriminant |
Eigenvalues |
2- 3 5+ -4 -5 0 5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-823,116978] |
[a1,a2,a3,a4,a6] |
j |
-240814843344/22952140625 |
j-invariant |
L |
1.2460514399072 |
L(r)(E,1)/r! |
Ω |
0.62302566884713 |
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 |
21460a1 |
Quadratic twists by: -4 |