Atkin-Lehner |
2- 7- 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
123284c |
Isogeny class |
Conductor |
123284 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
112320 |
Modular degree for the optimal curve |
Δ |
1184019536 = 24 · 76 · 17 · 37 |
Discriminant |
Eigenvalues |
2- 2 2 7- 2 -2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10257,-396430] |
[a1,a2,a3,a4,a6] |
Generators |
[13494608244:-73748839555:102503232] |
Generators of the group modulo torsion |
j |
63404326912/629 |
j-invariant |
L |
12.483396496202 |
L(r)(E,1)/r! |
Ω |
0.47439619380659 |
Real period |
R |
17.542856299372 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000088778 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2516b1 |
Quadratic twists by: -7 |