Atkin-Lehner |
2+ 3+ 5+ 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
116850m |
Isogeny class |
Conductor |
116850 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
4423870890000000000 = 210 · 36 · 510 · 192 · 412 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 -4 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-410400,0] |
[a1,a2,a3,a4,a6] |
Generators |
[-4802:46599:8] |
Generators of the group modulo torsion |
j |
489246126479774209/283127736960000 |
j-invariant |
L |
5.2401224561235 |
L(r)(E,1)/r! |
Ω |
0.20723691567544 |
Real period |
R |
6.321415373622 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999183084 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
23370t2 |
Quadratic twists by: 5 |