Atkin-Lehner |
2+ 3+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
21294h |
Isogeny class |
Conductor |
21294 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2278798704 = 24 · 33 · 74 · 133 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ -4 13- 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3288,73360] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:392:1] [-4:296:1] |
Generators of the group modulo torsion |
j |
66282611823/38416 |
j-invariant |
L |
5.0074030068713 |
L(r)(E,1)/r! |
Ω |
1.4410073719194 |
Real period |
R |
0.86873306557097 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21294bt2 21294bz2 |
Quadratic twists by: -3 13 |