Atkin-Lehner |
2+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
12274a |
Isogeny class |
Conductor |
12274 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
20520 |
Modular degree for the optimal curve |
Δ |
-2309764573576 = -1 · 23 · 17 · 198 |
Discriminant |
Eigenvalues |
2+ 0 1 4 -2 0 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,3001,-37403] |
[a1,a2,a3,a4,a6] |
Generators |
[1446:19493:8] |
Generators of the group modulo torsion |
j |
175959/136 |
j-invariant |
L |
3.8448336294155 |
L(r)(E,1)/r! |
Ω |
0.45651950158153 |
Real period |
R |
2.8073526001962 |
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 |
98192g1 110466bl1 12274l1 |
Quadratic twists by: -4 -3 -19 |