Atkin-Lehner |
2- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
57232g |
Isogeny class |
Conductor |
57232 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
70560 |
Modular degree for the optimal curve |
Δ |
-5278897453312 = -1 · 28 · 710 · 73 |
Discriminant |
Eigenvalues |
2- 0 2 7- 3 -4 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2401,100842] |
[a1,a2,a3,a4,a6] |
Generators |
[2209834:90083300:1331] |
Generators of the group modulo torsion |
j |
21168/73 |
j-invariant |
L |
6.6275762990594 |
L(r)(E,1)/r! |
Ω |
0.54192660501353 |
Real period |
R |
12.229656631647 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000286 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14308b1 57232b1 |
Quadratic twists by: -4 -7 |