Atkin-Lehner |
2- 3+ 11- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
42636b |
Isogeny class |
Conductor |
42636 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1354752 |
Modular degree for the optimal curve |
Δ |
-6.3908046068202E+19 |
Discriminant |
Eigenvalues |
2- 3+ -1 3 11- 4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1686916,927444664] |
[a1,a2,a3,a4,a6] |
Generators |
[975:794816:27] |
Generators of the group modulo torsion |
j |
-2073788092889845915984/249640804953913329 |
j-invariant |
L |
5.7987704060708 |
L(r)(E,1)/r! |
Ω |
0.19074786229672 |
Real period |
R |
7.6000463861736 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999943 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127908d1 |
Quadratic twists by: -3 |