Atkin-Lehner |
2- 7- 29+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
30044b |
Isogeny class |
Conductor |
30044 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6528 |
Modular degree for the optimal curve |
Δ |
-71144192 = -1 · 28 · 7 · 29 · 372 |
Discriminant |
Eigenvalues |
2- 1 2 7- -4 -4 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,83,-257] |
[a1,a2,a3,a4,a6] |
Generators |
[228:629:64] |
Generators of the group modulo torsion |
j |
244047872/277907 |
j-invariant |
L |
7.0818550670587 |
L(r)(E,1)/r! |
Ω |
1.0485298785248 |
Real period |
R |
3.3770401836437 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120176k1 |
Quadratic twists by: -4 |