Atkin-Lehner |
2- 3- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
35136ce |
Isogeny class |
Conductor |
35136 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-1512489589056 = -1 · 26 · 318 · 61 |
Discriminant |
Eigenvalues |
2- 3- -3 -1 5 -5 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-58899,5502184] |
[a1,a2,a3,a4,a6] |
Generators |
[140:18:1] |
Generators of the group modulo torsion |
j |
-484328442184768/32417901 |
j-invariant |
L |
3.5450262448847 |
L(r)(E,1)/r! |
Ω |
0.80573239906253 |
Real period |
R |
2.1998781785428 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35136cd1 17568l1 11712bi1 |
Quadratic twists by: -4 8 -3 |