Atkin-Lehner |
2- 5+ 11+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
56650q |
Isogeny class |
Conductor |
56650 |
Conductor |
∏ cp |
100 |
Product of Tamagawa factors cp |
deg |
4300800 |
Modular degree for the optimal curve |
Δ |
-2.6308491516314E+22 |
Discriminant |
Eigenvalues |
2- 2 5+ 1 11+ 5 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,3327687,7447201031] |
[a1,a2,a3,a4,a6] |
Generators |
[495:95752:1] |
Generators of the group modulo torsion |
j |
260814113169681946679/1683743457044070400 |
j-invariant |
L |
14.50886985918 |
L(r)(E,1)/r! |
Ω |
0.086254214057099 |
Real period |
R |
1.6821056243706 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000047 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11330g1 |
Quadratic twists by: 5 |