Atkin-Lehner |
3+ 5+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
44835b |
Isogeny class |
Conductor |
44835 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
508032 |
Modular degree for the optimal curve |
Δ |
-9049566594796875 = -1 · 33 · 56 · 78 · 612 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 7+ -2 7 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,43104,2999576] |
[a1,a2,a3,a4,a6] |
j |
1536321253376/1569796875 |
j-invariant |
L |
1.0852878683788 |
L(r)(E,1)/r! |
Ω |
0.27132196712099 |
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 |
44835z1 |
Quadratic twists by: -7 |