Atkin-Lehner |
2- 3+ 5- 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
99180b |
Isogeny class |
Conductor |
99180 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-2377195830000 = -1 · 24 · 33 · 54 · 192 · 293 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 1 -1 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9237,-349659] |
[a1,a2,a3,a4,a6] |
Generators |
[417:8265:1] |
Generators of the group modulo torsion |
j |
-201758944013568/5502768125 |
j-invariant |
L |
7.8049157012679 |
L(r)(E,1)/r! |
Ω |
0.24310175143877 |
Real period |
R |
0.22295521516297 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000033671 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99180a1 |
Quadratic twists by: -3 |