Atkin-Lehner |
2+ 3- 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
12870q |
Isogeny class |
Conductor |
12870 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
60944373457110 = 2 · 37 · 5 · 118 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11- 13- -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-21465,-1145345] |
[a1,a2,a3,a4,a6] |
Generators |
[-79:269:1] [-69:95:1] |
Generators of the group modulo torsion |
j |
1500376464746641/83599963590 |
j-invariant |
L |
4.4213815970489 |
L(r)(E,1)/r! |
Ω |
0.39579646122847 |
Real period |
R |
2.7927116776931 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102960dk3 4290v4 64350ek3 |
Quadratic twists by: -4 -3 5 |