Atkin-Lehner |
3- 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
92169m |
Isogeny class |
Conductor |
92169 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-41209849245411 = -1 · 36 · 76 · 113 · 192 |
Discriminant |
Eigenvalues |
0 3- -3 7- 11+ -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-12054,595705] |
[a1,a2,a3,a4,a6] |
Generators |
[35:-466:1] |
Generators of the group modulo torsion |
j |
-2258403328/480491 |
j-invariant |
L |
2.9205734205968 |
L(r)(E,1)/r! |
Ω |
0.61631122572058 |
Real period |
R |
1.1846991008119 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002982 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10241e1 1881b1 |
Quadratic twists by: -3 -7 |