Atkin-Lehner |
2- 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
7888f |
Isogeny class |
Conductor |
7888 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
119808 |
Modular degree for the optimal curve |
Δ |
-1010161588591710208 = -1 · 212 · 17 · 299 |
Discriminant |
Eigenvalues |
2- 0 -2 5 0 7 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-123851,-51183814] |
[a1,a2,a3,a4,a6] |
Generators |
[121297751995:1253605788122:230346397] |
Generators of the group modulo torsion |
j |
-51293497953529377/246621481589773 |
j-invariant |
L |
4.3338624756817 |
L(r)(E,1)/r! |
Ω |
0.11509804902854 |
Real period |
R |
18.826828570339 |
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 |
493a1 31552u1 70992ba1 |
Quadratic twists by: -4 8 -3 |