Atkin-Lehner |
2- 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
99176p |
Isogeny class |
Conductor |
99176 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
47007837184 = 210 · 73 · 11 · 233 |
Discriminant |
Eigenvalues |
2- -1 -3 7- 11+ 7 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2032,34364] |
[a1,a2,a3,a4,a6] |
Generators |
[14:-92:1] [-2:196:1] |
Generators of the group modulo torsion |
j |
2643105244/133837 |
j-invariant |
L |
7.9775579563935 |
L(r)(E,1)/r! |
Ω |
1.1184189685422 |
Real period |
R |
0.59440738673262 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000041 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99176n1 |
Quadratic twists by: -7 |