Atkin-Lehner |
2+ 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
12342i |
Isogeny class |
Conductor |
12342 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
38016 |
Modular degree for the optimal curve |
Δ |
-16792017302016 = -1 · 29 · 32 · 118 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 1 1 11- 6 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-30253,-2037400] |
[a1,a2,a3,a4,a6] |
Generators |
[46513720:116389040:226981] |
Generators of the group modulo torsion |
j |
-14284562281/78336 |
j-invariant |
L |
4.8472242533804 |
L(r)(E,1)/r! |
Ω |
0.18094090620119 |
Real period |
R |
13.394495349743 |
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 |
98736bu1 37026bg1 12342be1 |
Quadratic twists by: -4 -3 -11 |