Atkin-Lehner |
2+ 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122694o |
Isogeny class |
Conductor |
122694 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
418176 |
Modular degree for the optimal curve |
Δ |
-187798958208576 = -1 · 26 · 34 · 118 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 1 0 11- 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-16942,-1081868] |
[a1,a2,a3,a4,a6] |
Generators |
[292:-4502:1] [1327:47455:1] |
Generators of the group modulo torsion |
j |
-14846689/5184 |
j-invariant |
L |
8.4204607252598 |
L(r)(E,1)/r! |
Ω |
0.20561473138141 |
Real period |
R |
3.4127178356802 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999910844 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122694cf1 122694ci1 |
Quadratic twists by: -11 13 |