Atkin-Lehner |
2+ 3- 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
109554n |
Isogeny class |
Conductor |
109554 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
380160 |
Modular degree for the optimal curve |
Δ |
1093450586112 = 211 · 34 · 193 · 312 |
Discriminant |
Eigenvalues |
2+ 3- -4 2 0 3 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-15753,-760628] |
[a1,a2,a3,a4,a6] |
Generators |
[-70:51:1] |
Generators of the group modulo torsion |
j |
449832171462601/1137825792 |
j-invariant |
L |
4.6312305449603 |
L(r)(E,1)/r! |
Ω |
0.4262143387873 |
Real period |
R |
2.71649156965 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998105079 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109554d1 |
Quadratic twists by: -31 |