Atkin-Lehner |
2- 7+ 29- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
100688r |
Isogeny class |
Conductor |
100688 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
35364847616 = 214 · 74 · 29 · 31 |
Discriminant |
Eigenvalues |
2- 0 -1 7+ 2 -4 -7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2243,39874] |
[a1,a2,a3,a4,a6] |
Generators |
[15:98:1] |
Generators of the group modulo torsion |
j |
304685358489/8633996 |
j-invariant |
L |
3.8865663587062 |
L(r)(E,1)/r! |
Ω |
1.1557784430655 |
Real period |
R |
0.84068152270084 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000084964 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12586c1 |
Quadratic twists by: -4 |