Atkin-Lehner |
2+ 3+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
49368d |
Isogeny class |
Conductor |
49368 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
12165120 |
Modular degree for the optimal curve |
Δ |
-2.1078051836397E+24 |
Discriminant |
Eigenvalues |
2+ 3+ 1 -5 11- 0 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-123149000,530669234988] |
[a1,a2,a3,a4,a6] |
j |
-470484099871289042/4801302120177 |
j-invariant |
L |
0.49739728016635 |
L(r)(E,1)/r! |
Ω |
0.082899546756162 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98736ba1 49368x1 |
Quadratic twists by: -4 -11 |