Atkin-Lehner |
2+ 3- 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
84150bw |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-159007147200 = -1 · 26 · 312 · 52 · 11 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 11+ -6 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-252,-19184] |
[a1,a2,a3,a4,a6] |
Generators |
[80:644:1] |
Generators of the group modulo torsion |
j |
-97325545/8724672 |
j-invariant |
L |
4.428331047073 |
L(r)(E,1)/r! |
Ω |
0.45244525110279 |
Real period |
R |
2.4468877914297 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28050cf1 84150gq1 |
Quadratic twists by: -3 5 |