Atkin-Lehner |
2+ 3+ 5- 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
23790d |
Isogeny class |
Conductor |
23790 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
36221702400 = 28 · 32 · 52 · 132 · 612 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 0 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1117,10621] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:109:1] [-23:169:1] |
Generators of the group modulo torsion |
j |
154344300453721/36221702400 |
j-invariant |
L |
4.9495929463228 |
L(r)(E,1)/r! |
Ω |
1.0890281126302 |
Real period |
R |
2.2724817150817 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999971 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
71370x2 118950bp2 |
Quadratic twists by: -3 5 |