Atkin-Lehner |
2- 3- 5+ 19+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
124830cd |
Isogeny class |
Conductor |
124830 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
12744346769348400 = 24 · 310 · 52 · 19 · 734 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -4 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-373793,-87700543] |
[a1,a2,a3,a4,a6] |
Generators |
[-359:534:1] [-347:538:1] |
Generators of the group modulo torsion |
j |
7922980497360417481/17481957159600 |
j-invariant |
L |
14.854367781704 |
L(r)(E,1)/r! |
Ω |
0.19310762866912 |
Real period |
R |
2.4038356038681 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000105 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41610t4 |
Quadratic twists by: -3 |