Atkin-Lehner |
2+ 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
95550ew |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
3556224 |
Modular degree for the optimal curve |
Δ |
56818339840080000 = 27 · 36 · 54 · 78 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 0 13- 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-19346451,32751308398] |
[a1,a2,a3,a4,a6] |
j |
222261000810165625/15769728 |
j-invariant |
L |
3.2128555758691 |
L(r)(E,1)/r! |
Ω |
0.26773797585693 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
95550fy1 95550ci1 |
Quadratic twists by: 5 -7 |