Atkin-Lehner |
2+ 5- 31- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
12710j |
Isogeny class |
Conductor |
12710 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1241951040800 = 25 · 52 · 314 · 412 |
Discriminant |
Eigenvalues |
2+ -2 5- 0 2 4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5088,-129394] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:122:1] |
Generators of the group modulo torsion |
j |
14562713789652601/1241951040800 |
j-invariant |
L |
2.7330006342121 |
L(r)(E,1)/r! |
Ω |
0.56836330482233 |
Real period |
R |
1.2021362969001 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101680q2 114390bk2 63550v2 |
Quadratic twists by: -4 -3 5 |