Atkin-Lehner |
3- 5+ 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
65325w |
Isogeny class |
Conductor |
65325 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
1306368 |
Modular degree for the optimal curve |
Δ |
1.2489283441248E+19 |
Discriminant |
Eigenvalues |
-1 3- 5+ -3 0 13- -8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-743938,179064617] |
[a1,a2,a3,a4,a6] |
Generators |
[-5314:158657:8] [197:-6436:1] |
Generators of the group modulo torsion |
j |
2914163746614209881/799314140239875 |
j-invariant |
L |
7.3376590999499 |
L(r)(E,1)/r! |
Ω |
0.20987097200385 |
Real period |
R |
0.48559327176556 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999785 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13065h1 |
Quadratic twists by: 5 |