Atkin-Lehner |
2- 3- 29+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
10614o |
Isogeny class |
Conductor |
10614 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
38016 |
Modular degree for the optimal curve |
Δ |
-1089308196864 = -1 · 218 · 34 · 292 · 61 |
Discriminant |
Eigenvalues |
2- 3- -1 3 -3 -5 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-55146,4980132] |
[a1,a2,a3,a4,a6] |
Generators |
[144:-246:1] |
Generators of the group modulo torsion |
j |
-18546683202086221729/1089308196864 |
j-invariant |
L |
7.8200854620327 |
L(r)(E,1)/r! |
Ω |
0.82558489141467 |
Real period |
R |
0.065779000568722 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84912m1 31842j1 |
Quadratic twists by: -4 -3 |