Atkin-Lehner |
2+ 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
31850d |
Isogeny class |
Conductor |
31850 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
59904 |
Modular degree for the optimal curve |
Δ |
-507211250000 = -1 · 24 · 57 · 74 · 132 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7+ -4 13- 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-7375,243125] |
[a1,a2,a3,a4,a6] |
Generators |
[125:-1200:1] [-70:685:1] |
Generators of the group modulo torsion |
j |
-1182740881/13520 |
j-invariant |
L |
5.1717248228522 |
L(r)(E,1)/r! |
Ω |
0.93305809994757 |
Real period |
R |
0.11547433878854 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6370r1 31850i1 |
Quadratic twists by: 5 -7 |