Atkin-Lehner |
2- 5+ 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
102410bo |
Isogeny class |
Conductor |
102410 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6386688 |
Modular degree for the optimal curve |
Δ |
-117660489160156250 = -1 · 2 · 511 · 78 · 11 · 19 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 11- 5 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-34881386,-79308241167] |
[a1,a2,a3,a4,a6] |
j |
-39894834911270587007761/1000097656250 |
j-invariant |
L |
3.044017776814 |
L(r)(E,1)/r! |
Ω |
0.031061407055368 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
49 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14630u1 |
Quadratic twists by: -7 |