Atkin-Lehner |
2+ 3- 5+ 19- 73- |
Signs for the Atkin-Lehner involutions |
Class |
124830bb |
Isogeny class |
Conductor |
124830 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
14005064673000000 = 26 · 312 · 56 · 192 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -6 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-201555,-34309899] |
[a1,a2,a3,a4,a6] |
Generators |
[-258:813:1] [-242:621:1] |
Generators of the group modulo torsion |
j |
1242161671780165681/19211337000000 |
j-invariant |
L |
8.987988969313 |
L(r)(E,1)/r! |
Ω |
0.22553194922796 |
Real period |
R |
4.9815497316751 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41610bn1 |
Quadratic twists by: -3 |