Atkin-Lehner |
2- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
10192bb |
Isogeny class |
Conductor |
10192 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-43852017664 = -1 · 212 · 77 · 13 |
Discriminant |
Eigenvalues |
2- -2 3 7- 0 13+ 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5749,166179] |
[a1,a2,a3,a4,a6] |
Generators |
[30:147:1] |
Generators of the group modulo torsion |
j |
-43614208/91 |
j-invariant |
L |
3.7711086172998 |
L(r)(E,1)/r! |
Ω |
1.1413566179155 |
Real period |
R |
1.6520290670356 |
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 |
637b1 40768dy1 91728ep1 1456h1 |
Quadratic twists by: -4 8 -3 -7 |