Atkin-Lehner |
2+ 3- 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
7050p |
Isogeny class |
Conductor |
7050 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
12480 |
Modular degree for the optimal curve |
Δ |
451200000000 = 213 · 3 · 58 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 0 -5 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2951,52298] |
[a1,a2,a3,a4,a6] |
Generators |
[-52:282:1] |
Generators of the group modulo torsion |
j |
7272098185/1155072 |
j-invariant |
L |
4.0057392719728 |
L(r)(E,1)/r! |
Ω |
0.89773323745247 |
Real period |
R |
4.4620596685715 |
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 |
56400ci1 21150cr1 7050x1 |
Quadratic twists by: -4 -3 5 |