Atkin-Lehner |
2- 3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
76440ci |
Isogeny class |
Conductor |
76440 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
Δ |
5927345328996000000 = 28 · 32 · 56 · 78 · 134 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4141300,-3240297500] |
[a1,a2,a3,a4,a6] |
Generators |
[-1160:1170:1] |
Generators of the group modulo torsion |
j |
260798860029250384/196803140625 |
j-invariant |
L |
6.842670729304 |
L(r)(E,1)/r! |
Ω |
0.10583639677974 |
Real period |
R |
1.3469434384261 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000033 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10920o2 |
Quadratic twists by: -7 |