Atkin-Lehner |
3- 5+ 7- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
41055k |
Isogeny class |
Conductor |
41055 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
143420743258025625 = 310 · 54 · 7 · 176 · 23 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- -4 2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-157119,-15589499] |
[a1,a2,a3,a4,a6] |
Generators |
[-1706:23799:8] |
Generators of the group modulo torsion |
j |
428949195590567265769/143420743258025625 |
j-invariant |
L |
7.7944988043948 |
L(r)(E,1)/r! |
Ω |
0.24624952780067 |
Real period |
R |
1.0550949239723 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123165q1 |
Quadratic twists by: -3 |