Atkin-Lehner |
2+ 3- 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
111090r |
Isogeny class |
Conductor |
111090 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1216512 |
Modular degree for the optimal curve |
Δ |
895321056672000 = 28 · 33 · 53 · 7 · 236 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-263189,-51971488] |
[a1,a2,a3,a4,a6] |
Generators |
[-292:207:1] |
Generators of the group modulo torsion |
j |
13619385906841/6048000 |
j-invariant |
L |
5.7124091052275 |
L(r)(E,1)/r! |
Ω |
0.21078727702644 |
Real period |
R |
4.5167250434141 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000117914 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
210b1 |
Quadratic twists by: -23 |