Atkin-Lehner |
2- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
94640cv |
Isogeny class |
Conductor |
94640 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
Δ |
-223469882015744000 = -1 · 218 · 53 · 79 · 132 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 0 13+ -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-59960,23455600] |
[a1,a2,a3,a4,a6] |
Generators |
[60:4480:1] [-150:5390:1] |
Generators of the group modulo torsion |
j |
-34440478374289/322828856000 |
j-invariant |
L |
10.311203395441 |
L(r)(E,1)/r! |
Ω |
0.26873526443531 |
Real period |
R |
0.35527196522158 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999992745 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11830f2 94640bq2 |
Quadratic twists by: -4 13 |