Atkin-Lehner |
2- 3+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
65598bb |
Isogeny class |
Conductor |
65598 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
2.2719599612267E+21 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 4 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-18906959,-31567885099] |
[a1,a2,a3,a4,a6] |
Generators |
[29229549195:1754253897362:4173281] |
Generators of the group modulo torsion |
j |
1256610758033695897/3819554279424 |
j-invariant |
L |
8.8867022413172 |
L(r)(E,1)/r! |
Ω |
0.072414158932303 |
Real period |
R |
10.226708851128 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000132 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2262h2 |
Quadratic twists by: 29 |