Atkin-Lehner |
7- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
12103c |
Isogeny class |
Conductor |
12103 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
73248 |
Modular degree for the optimal curve |
Δ |
-153287736147091 = -1 · 710 · 134 · 19 |
Discriminant |
Eigenvalues |
2 2 1 7- -4 13- -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-48820,4210709] |
[a1,a2,a3,a4,a6] |
Generators |
[7716:15997:64] |
Generators of the group modulo torsion |
j |
-45555994624/542659 |
j-invariant |
L |
12.467862953682 |
L(r)(E,1)/r! |
Ω |
0.57960694534142 |
Real period |
R |
5.3777232372268 |
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 |
108927y1 12103a1 |
Quadratic twists by: -3 -7 |