Atkin-Lehner |
2+ 13+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
85696b |
Isogeny class |
Conductor |
85696 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
175505408 = 217 · 13 · 103 |
Discriminant |
Eigenvalues |
2+ 0 2 0 4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-228524,42048048] |
[a1,a2,a3,a4,a6] |
Generators |
[40259112600:9260620732:144703125] |
Generators of the group modulo torsion |
j |
10069530864070914/1339 |
j-invariant |
L |
7.4357796205002 |
L(r)(E,1)/r! |
Ω |
1.0303650076859 |
Real period |
R |
14.433292215185 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999978273 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85696br4 10712b4 |
Quadratic twists by: -4 8 |