Atkin-Lehner |
2- 3- 23- 103- |
Signs for the Atkin-Lehner involutions |
Class |
85284d |
Isogeny class |
Conductor |
85284 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
22176 |
Modular degree for the optimal curve |
Δ |
-442112256 = -1 · 28 · 36 · 23 · 103 |
Discriminant |
Eigenvalues |
2- 3- 1 -1 -4 6 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,153,702] |
[a1,a2,a3,a4,a6] |
Generators |
[7:46:1] |
Generators of the group modulo torsion |
j |
2122416/2369 |
j-invariant |
L |
6.6826569517053 |
L(r)(E,1)/r! |
Ω |
1.1115538676764 |
Real period |
R |
2.0039985292945 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005297 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9476b1 |
Quadratic twists by: -3 |