Atkin-Lehner |
2+ 3+ 5- 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
46530d |
Isogeny class |
Conductor |
46530 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
401280 |
Modular degree for the optimal curve |
Δ |
-198752167968750 = -1 · 2 · 39 · 510 · 11 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 11+ -4 -5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-317184,-68680810] |
[a1,a2,a3,a4,a6] |
j |
-179294515464186387/10097656250 |
j-invariant |
L |
2.0117323748884 |
L(r)(E,1)/r! |
Ω |
0.10058661874382 |
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 |
46530p1 |
Quadratic twists by: -3 |