Atkin-Lehner |
2+ 5- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
59840o |
Isogeny class |
Conductor |
59840 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
952320 |
Modular degree for the optimal curve |
Δ |
198239093148800000 = 210 · 55 · 118 · 172 |
Discriminant |
Eigenvalues |
2+ -2 5- -2 11+ -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1184645,-496216757] |
[a1,a2,a3,a4,a6] |
Generators |
[-629:680:1] |
Generators of the group modulo torsion |
j |
179551401487197159424/193592864403125 |
j-invariant |
L |
3.033187086728 |
L(r)(E,1)/r! |
Ω |
0.1447206759554 |
Real period |
R |
2.095890629685 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000534 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59840bq1 3740c1 |
Quadratic twists by: -4 8 |