Atkin-Lehner |
3- 5- 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
55275r |
Isogeny class |
Conductor |
55275 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
946080 |
Modular degree for the optimal curve |
Δ |
-1226881993876171875 = -1 · 318 · 58 · 112 · 67 |
Discriminant |
Eigenvalues |
0 3- 5- 4 11+ -4 -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-18833,-53307256] |
[a1,a2,a3,a4,a6] |
Generators |
[532:9355:1] |
Generators of the group modulo torsion |
j |
-1891233955840/3140817904323 |
j-invariant |
L |
6.7463980506241 |
L(r)(E,1)/r! |
Ω |
0.12348838779561 |
Real period |
R |
1.5175511576068 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000024 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55275d1 |
Quadratic twists by: 5 |