Atkin-Lehner |
2+ 3- 5+ 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
119850bh |
Isogeny class |
Conductor |
119850 |
Conductor |
∏ cp |
70 |
Product of Tamagawa factors cp |
deg |
2540160 |
Modular degree for the optimal curve |
Δ |
3729630199871662200 = 23 · 314 · 52 · 17 · 475 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -3 1 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-394371,21259558] |
[a1,a2,a3,a4,a6] |
Generators |
[-574:7941:1] [-484:10182:1] |
Generators of the group modulo torsion |
j |
271329513086584312465/149185207994866488 |
j-invariant |
L |
9.4965005318023 |
L(r)(E,1)/r! |
Ω |
0.21628790851041 |
Real period |
R |
0.62723937880878 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999951013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119850cd1 |
Quadratic twists by: 5 |