Atkin-Lehner |
3- 7- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
59241y |
Isogeny class |
Conductor |
59241 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
Δ |
-1.445354820424E+23 |
Discriminant |
Eigenvalues |
1 3- 2 7- -4 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,8853000,-15223548539] |
[a1,a2,a3,a4,a6] |
Generators |
[2730710:-172583811:1000] |
Generators of the group modulo torsion |
j |
652239257945803829783/1228531326593545611 |
j-invariant |
L |
9.7259891605305 |
L(r)(E,1)/r! |
Ω |
0.053957666113786 |
Real period |
R |
6.0084073686995 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000261 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8463c4 |
Quadratic twists by: -7 |