Atkin-Lehner |
2- 11- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
116402ba |
Isogeny class |
Conductor |
116402 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
46560 |
Modular degree for the optimal curve |
Δ |
-1862432 = -1 · 25 · 112 · 13 · 37 |
Discriminant |
Eigenvalues |
2- -1 4 1 11- 13+ -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-646,6051] |
[a1,a2,a3,a4,a6] |
Generators |
[15:-3:1] |
Generators of the group modulo torsion |
j |
-246421111849/15392 |
j-invariant |
L |
11.964935063131 |
L(r)(E,1)/r! |
Ω |
2.5001733254664 |
Real period |
R |
0.95712844559891 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016275 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116402r1 |
Quadratic twists by: -11 |