Atkin-Lehner |
2+ 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84966ch |
Isogeny class |
Conductor |
84966 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
12794880 |
Modular degree for the optimal curve |
Δ |
2.9304172821149E+23 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 2 1 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-21871960,-29527425238] |
[a1,a2,a3,a4,a6] |
Generators |
[5515:129893:1] |
Generators of the group modulo torsion |
j |
34543481/8748 |
j-invariant |
L |
5.0073814784858 |
L(r)(E,1)/r! |
Ω |
0.071112667172736 |
Real period |
R |
2.5148129011346 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999979297 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84966c1 84966ba1 |
Quadratic twists by: -7 17 |