Atkin-Lehner |
2+ 3- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
11970t |
Isogeny class |
Conductor |
11970 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
511813702890000 = 24 · 310 · 54 · 74 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-279315,56877925] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:7949:1] |
Generators of the group modulo torsion |
j |
3305824819139208241/702076410000 |
j-invariant |
L |
2.5825981702816 |
L(r)(E,1)/r! |
Ω |
0.50784025846406 |
Real period |
R |
1.2713634490561 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
95760dm4 3990u3 59850fr4 83790by4 |
Quadratic twists by: -4 -3 5 -7 |