Atkin-Lehner |
2+ 3+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
84966bi |
Isogeny class |
Conductor |
84966 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4354560 |
Modular degree for the optimal curve |
Δ |
-8.8431867407887E+20 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- -3 -2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1635301,-1182180579] |
[a1,a2,a3,a4,a6] |
Generators |
[2827:159968:1] |
Generators of the group modulo torsion |
j |
49218965184023/89996344704 |
j-invariant |
L |
1.7452606736146 |
L(r)(E,1)/r! |
Ω |
0.082631992382768 |
Real period |
R |
5.2802208403296 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003351 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12138o1 84966cc1 |
Quadratic twists by: -7 17 |