Atkin-Lehner |
2+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
910d |
Isogeny class |
Conductor |
910 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
96 |
Modular degree for the optimal curve |
Δ |
318500 = 22 · 53 · 72 · 13 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- -2 13+ -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-29,-47] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:4:1] |
Generators of the group modulo torsion |
j |
2749884201/318500 |
j-invariant |
L |
1.8764854850108 |
L(r)(E,1)/r! |
Ω |
2.0695112830999 |
Real period |
R |
0.30224293376808 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7280t1 29120i1 8190bi1 4550r1 |
Quadratic twists by: -4 8 -3 5 |