Atkin-Lehner |
5- 7- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
107065h |
Isogeny class |
Conductor |
107065 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
912384 |
Modular degree for the optimal curve |
Δ |
56519331450640625 = 56 · 77 · 192 · 233 |
Discriminant |
Eigenvalues |
-1 -2 5- 7- -2 -6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-125735,12782272] |
[a1,a2,a3,a4,a6] |
Generators |
[31476:519587:64] [-321:4643:1] |
Generators of the group modulo torsion |
j |
1868547946835809/480406390625 |
j-invariant |
L |
5.0921257039012 |
L(r)(E,1)/r! |
Ω |
0.33027473832032 |
Real period |
R |
0.42827355456992 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000003845 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15295b1 |
Quadratic twists by: -7 |