Atkin-Lehner |
2+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
31850p |
Isogeny class |
Conductor |
31850 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-16393652843750 = -1 · 2 · 56 · 79 · 13 |
Discriminant |
Eigenvalues |
2+ 3 5+ 7- 1 13+ 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,4058,166466] |
[a1,a2,a3,a4,a6] |
j |
4019679/8918 |
j-invariant |
L |
3.8651111008392 |
L(r)(E,1)/r! |
Ω |
0.48313888760447 |
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 |
1274o1 4550k1 |
Quadratic twists by: 5 -7 |