Atkin-Lehner |
2+ 5+ 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
113230b |
Isogeny class |
Conductor |
113230 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6739200 |
Modular degree for the optimal curve |
Δ |
-2.534796369552E+21 |
Discriminant |
Eigenvalues |
2+ -2 5+ 1 3 13+ 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2385439,2806673586] |
[a1,a2,a3,a4,a6] |
Generators |
[1428086:50536571:1331] |
Generators of the group modulo torsion |
j |
-10889172391201/18386944000 |
j-invariant |
L |
3.214658542364 |
L(r)(E,1)/r! |
Ω |
0.12937004905997 |
Real period |
R |
12.424276754829 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998623498 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113230y1 |
Quadratic twists by: 13 |