Atkin-Lehner |
2+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
31850n |
Isogeny class |
Conductor |
31850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-6819759583000000 = -1 · 26 · 56 · 79 · 132 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- 4 13+ 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,7324,3966498] |
[a1,a2,a3,a4,a6] |
j |
68921/10816 |
j-invariant |
L |
1.2970091468183 |
L(r)(E,1)/r! |
Ω |
0.32425228670588 |
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 |
1274m1 31850bb1 |
Quadratic twists by: 5 -7 |