Atkin-Lehner |
3- 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
97461r |
Isogeny class |
Conductor |
97461 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1585152 |
Modular degree for the optimal curve |
Δ |
-1644305584594491 = -1 · 312 · 77 · 13 · 172 |
Discriminant |
Eigenvalues |
-2 3- -3 7- -2 13+ 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1284339,-560235020] |
[a1,a2,a3,a4,a6] |
j |
-2731787761881088/19171971 |
j-invariant |
L |
0.567269703664 |
L(r)(E,1)/r! |
Ω |
0.070908689417683 |
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 |
32487d1 13923i1 |
Quadratic twists by: -3 -7 |