Atkin-Lehner |
2+ 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84966br |
Isogeny class |
Conductor |
84966 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
81648 |
Modular degree for the optimal curve |
Δ |
-58752969408 = -1 · 26 · 33 · 76 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 1 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,954,-2600] |
[a1,a2,a3,a4,a6] |
Generators |
[5:45:1] |
Generators of the group modulo torsion |
j |
2828375/1728 |
j-invariant |
L |
6.6119831809332 |
L(r)(E,1)/r! |
Ω |
0.64425279795063 |
Real period |
R |
1.7105043251563 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999948601 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1734a1 84966bg1 |
Quadratic twists by: -7 17 |