Atkin-Lehner |
2- 3- 5+ 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
70950by |
Isogeny class |
Conductor |
70950 |
Conductor |
∏ cp |
3264 |
Product of Tamagawa factors cp |
deg |
8773632 |
Modular degree for the optimal curve |
Δ |
-3.4260540444979E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ -5 11- -5 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3499938,3778887492] |
[a1,a2,a3,a4,a6] |
Generators |
[1212:35694:1] [-2088:45594:1] |
Generators of the group modulo torsion |
j |
-303448326736684074841/219267458847866880 |
j-invariant |
L |
15.803519478248 |
L(r)(E,1)/r! |
Ω |
0.12973138930684 |
Real period |
R |
0.037321457604946 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999708 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14190g1 |
Quadratic twists by: 5 |