Atkin-Lehner |
3- 5+ 11+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
49995c |
Isogeny class |
Conductor |
49995 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
12960 |
Modular degree for the optimal curve |
Δ |
-101239875 = -1 · 36 · 53 · 11 · 101 |
Discriminant |
Eigenvalues |
-1 3- 5+ 2 11+ 1 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-203,1262] |
[a1,a2,a3,a4,a6] |
j |
-1263214441/138875 |
j-invariant |
L |
1.8397060892174 |
L(r)(E,1)/r! |
Ω |
1.8397060888066 |
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 |
5555b1 |
Quadratic twists by: -3 |