Atkin-Lehner |
2- 3- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
35136ca |
Isogeny class |
Conductor |
35136 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-39343325184 = -1 · 215 · 39 · 61 |
Discriminant |
Eigenvalues |
2- 3- 3 2 2 4 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-876,-13808] |
[a1,a2,a3,a4,a6] |
Generators |
[128:1404:1] |
Generators of the group modulo torsion |
j |
-3112136/1647 |
j-invariant |
L |
8.1160620129724 |
L(r)(E,1)/r! |
Ω |
0.42814859047805 |
Real period |
R |
2.3695225774044 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35136cb1 17568o1 11712bk1 |
Quadratic twists by: -4 8 -3 |