Atkin-Lehner |
2- 3+ 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
47190ce |
Isogeny class |
Conductor |
47190 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
deg |
4515840 |
Modular degree for the optimal curve |
Δ |
-5.1046461146089E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 11- 13- -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,8988785,3254336405] |
[a1,a2,a3,a4,a6] |
Generators |
[2305:-191486:1] |
Generators of the group modulo torsion |
j |
45338857965533777399/28814396538470400 |
j-invariant |
L |
7.5435052634788 |
L(r)(E,1)/r! |
Ω |
0.069989162891249 |
Real period |
R |
1.2831077038114 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999957 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4290i1 |
Quadratic twists by: -11 |