Atkin-Lehner |
2- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
10192bd |
Isogeny class |
Conductor |
10192 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-15041242058752 = -1 · 212 · 710 · 13 |
Discriminant |
Eigenvalues |
2- 0 0 7- 3 13- -7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-84035,9378306] |
[a1,a2,a3,a4,a6] |
j |
-56723625/13 |
j-invariant |
L |
1.3646005386727 |
L(r)(E,1)/r! |
Ω |
0.68230026933637 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
637c1 40768cj1 91728ey1 10192m1 |
Quadratic twists by: -4 8 -3 -7 |