Atkin-Lehner |
2- 3- 5+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
99450di |
Isogeny class |
Conductor |
99450 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
1179648 |
Modular degree for the optimal curve |
Δ |
173719323648000000 = 216 · 310 · 56 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 2 13- 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-256055,-45597553] |
[a1,a2,a3,a4,a6] |
Generators |
[-357:646:1] |
Generators of the group modulo torsion |
j |
162995025390625/15251079168 |
j-invariant |
L |
12.420676562949 |
L(r)(E,1)/r! |
Ω |
0.2135075970415 |
Real period |
R |
1.8179500312206 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999970301 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33150s1 3978a1 |
Quadratic twists by: -3 5 |