Atkin-Lehner |
3- 5+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
17775bb |
Isogeny class |
Conductor |
17775 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
-3985184717578125 = -1 · 317 · 58 · 79 |
Discriminant |
Eigenvalues |
-1 3- 5+ 1 3 -7 -5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,35770,1554522] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:1098:1] |
Generators of the group modulo torsion |
j |
444369620591/349865325 |
j-invariant |
L |
2.7989290851087 |
L(r)(E,1)/r! |
Ω |
0.28298187218947 |
Real period |
R |
1.2363552934738 |
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 |
5925b1 3555g1 |
Quadratic twists by: -3 5 |