Atkin-Lehner |
2- 11+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
91234p |
Isogeny class |
Conductor |
91234 |
Conductor |
∏ cp |
672 |
Product of Tamagawa factors cp |
deg |
4193280 |
Modular degree for the optimal curve |
Δ |
-1.3349206336873E+20 |
Discriminant |
Eigenvalues |
2- 0 -4 1 11+ 13- -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2723392,1817672035] |
[a1,a2,a3,a4,a6] |
Generators |
[-1913:5857:1] [-899:59937:1] |
Generators of the group modulo torsion |
j |
-1678324673495468116971/100294563011821568 |
j-invariant |
L |
13.073123059064 |
L(r)(E,1)/r! |
Ω |
0.18207437420681 |
Real period |
R |
0.10684673368452 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997822 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91234a1 |
Quadratic twists by: -11 |