Atkin-Lehner |
3+ 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
49197c |
Isogeny class |
Conductor |
49197 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
-29448335291103 = -1 · 32 · 237 · 312 |
Discriminant |
Eigenvalues |
1 3+ 0 0 0 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-16145,824952] |
[a1,a2,a3,a4,a6] |
j |
-3144219625/198927 |
j-invariant |
L |
2.609471461921 |
L(r)(E,1)/r! |
Ω |
0.65236786550827 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2139a1 |
Quadratic twists by: -23 |