Atkin-Lehner |
2- 3- 5- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
39780x |
Isogeny class |
Conductor |
39780 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-1464360403577760000 = -1 · 28 · 38 · 54 · 136 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 6 13+ 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-39927,58302254] |
[a1,a2,a3,a4,a6] |
Generators |
[-197:7650:1] |
Generators of the group modulo torsion |
j |
-37718660202064/7846581380625 |
j-invariant |
L |
7.4960993893163 |
L(r)(E,1)/r! |
Ω |
0.21948399439706 |
Real period |
R |
1.4230535370605 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13260b2 |
Quadratic twists by: -3 |