Atkin-Lehner |
2+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
910c |
Isogeny class |
Conductor |
910 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
288 |
Modular degree for the optimal curve |
Δ |
2153060 = 22 · 5 · 72 · 133 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- 0 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-234,1352] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:40:1] |
Generators of the group modulo torsion |
j |
1408317602329/2153060 |
j-invariant |
L |
1.3176683943444 |
L(r)(E,1)/r! |
Ω |
2.6028837105667 |
Real period |
R |
1.5187021867269 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
7280n1 29120x1 8190bu1 4550q1 |
Quadratic twists by: -4 8 -3 5 |