Atkin-Lehner |
3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
53235bc |
Isogeny class |
Conductor |
53235 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-3421644026915205 = -1 · 310 · 5 · 74 · 136 |
Discriminant |
Eigenvalues |
1 3- 5- 7+ 0 13+ -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,26586,2259765] |
[a1,a2,a3,a4,a6] |
Generators |
[5262:136851:8] |
Generators of the group modulo torsion |
j |
590589719/972405 |
j-invariant |
L |
7.0981772172744 |
L(r)(E,1)/r! |
Ω |
0.30447882968266 |
Real period |
R |
5.8281369058154 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000032 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17745n4 315b4 |
Quadratic twists by: -3 13 |