Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
129960be |
Isogeny class |
Conductor |
129960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2.4762034913778E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -4 4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1353729423,-19171050698878] |
[a1,a2,a3,a4,a6] |
Generators |
[2073428587118459201392727847935778731775631041475471:3956194130855616490894719189585360826506118815218276756:569465652676171956282759965822851266509740433] |
Generators of the group modulo torsion |
j |
31248575021659890256/28203125 |
j-invariant |
L |
7.8358160399446 |
L(r)(E,1)/r! |
Ω |
0.024889523805544 |
Real period |
R |
78.705964140574 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000213742 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14440l2 6840q2 |
Quadratic twists by: -3 -19 |