Atkin-Lehner |
2+ 3+ 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
42630r |
Isogeny class |
Conductor |
42630 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1548288 |
Modular degree for the optimal curve |
Δ |
-3.0291861984982E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 4 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,711553,-129116091] |
[a1,a2,a3,a4,a6] |
Generators |
[8455:777053:1] |
Generators of the group modulo torsion |
j |
338654055246480791/257476578508800 |
j-invariant |
L |
3.3353697830983 |
L(r)(E,1)/r! |
Ω |
0.11671974775681 |
Real period |
R |
7.1439705945221 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127890fh1 6090g1 |
Quadratic twists by: -3 -7 |