Atkin-Lehner |
2- 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
101200by |
Isogeny class |
Conductor |
101200 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-29444140000000 = -1 · 28 · 57 · 112 · 233 |
Discriminant |
Eigenvalues |
2- -2 5+ -1 11- 4 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4467,-232937] |
[a1,a2,a3,a4,a6] |
Generators |
[39:46:1] [63:550:1] |
Generators of the group modulo torsion |
j |
2463850496/7361035 |
j-invariant |
L |
8.4405084506385 |
L(r)(E,1)/r! |
Ω |
0.3394388889318 |
Real period |
R |
0.51804295787083 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000093 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25300b1 20240q1 |
Quadratic twists by: -4 5 |