Atkin-Lehner |
2- 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
49588j |
Isogeny class |
Conductor |
49588 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-6454047195904 = -1 · 28 · 77 · 113 · 23 |
Discriminant |
Eigenvalues |
2- -2 -1 7- 11+ -2 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3195061,2197133511] |
[a1,a2,a3,a4,a6] |
j |
-119765878648078336/214291 |
j-invariant |
L |
0.97226512810155 |
L(r)(E,1)/r! |
Ω |
0.48613256383769 |
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 |
7084g1 |
Quadratic twists by: -7 |