Atkin-Lehner |
2+ 3+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
1914d |
Isogeny class |
Conductor |
1914 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3360 |
Modular degree for the optimal curve |
Δ |
4456565194752 = 214 · 35 · 113 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 11- 0 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-7975,251317] |
[a1,a2,a3,a4,a6] |
Generators |
[-66:737:1] |
Generators of the group modulo torsion |
j |
56104910457765625/4456565194752 |
j-invariant |
L |
1.9410781091714 |
L(r)(E,1)/r! |
Ω |
0.75785299189215 |
Real period |
R |
0.85376193445516 |
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 |
15312s1 61248o1 5742t1 47850cq1 |
Quadratic twists by: -4 8 -3 5 |