Atkin-Lehner |
2+ 3- 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
84150bo |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3041280 |
Modular degree for the optimal curve |
Δ |
-7.5466282753125E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 11+ -5 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,174933,416966341] |
[a1,a2,a3,a4,a6] |
Generators |
[-466:15533:1] |
Generators of the group modulo torsion |
j |
51974460932759/6625297800000 |
j-invariant |
L |
3.9854024682912 |
L(r)(E,1)/r! |
Ω |
0.14890994332982 |
Real period |
R |
3.3454804784893 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001476 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28050cd1 16830bx1 |
Quadratic twists by: -3 5 |