Atkin-Lehner |
2+ 23- 61- |
Signs for the Atkin-Lehner involutions |
Class |
2806b |
Isogeny class |
Conductor |
2806 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
70224 |
Modular degree for the optimal curve |
Δ |
-7.8310916271857E+19 |
Discriminant |
Eigenvalues |
2+ 0 -3 3 2 -2 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1041131,590570501] |
[a1,a2,a3,a4,a6] |
Generators |
[7598:167367:8] |
Generators of the group modulo torsion |
j |
-124807326579650811896073/78310916271856654336 |
j-invariant |
L |
2.1632985427059 |
L(r)(E,1)/r! |
Ω |
0.17857965299569 |
Real period |
R |
0.57685304339691 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22448b1 89792b1 25254q1 70150j1 |
Quadratic twists by: -4 8 -3 5 |