Atkin-Lehner |
3+ 5+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
101475n |
Isogeny class |
Conductor |
101475 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-951328125 = -1 · 33 · 57 · 11 · 41 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 3 11- 4 7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1880,31872] |
[a1,a2,a3,a4,a6] |
Generators |
[24:-25:1] |
Generators of the group modulo torsion |
j |
-1740992427/2255 |
j-invariant |
L |
5.500191047706 |
L(r)(E,1)/r! |
Ω |
1.5644190379752 |
Real period |
R |
0.43947552550139 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000031195 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101475d1 20295d1 |
Quadratic twists by: -3 5 |