Atkin-Lehner |
2+ 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122694bk |
Isogeny class |
Conductor |
122694 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
1088640 |
Modular degree for the optimal curve |
Δ |
-75456591005565198 = -1 · 2 · 35 · 114 · 139 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 11- 13+ 4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,9798,13211746] |
[a1,a2,a3,a4,a6] |
Generators |
[2276:107613:1] |
Generators of the group modulo torsion |
j |
1472207/1067742 |
j-invariant |
L |
6.2868481192525 |
L(r)(E,1)/r! |
Ω |
0.26866010871541 |
Real period |
R |
0.39001250683116 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999524638 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122694dc1 9438ba1 |
Quadratic twists by: -11 13 |