Atkin-Lehner |
2+ 5- 103- |
Signs for the Atkin-Lehner involutions |
Class |
41200t |
Isogeny class |
Conductor |
41200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-699345280000 = -1 · 210 · 54 · 1033 |
Discriminant |
Eigenvalues |
2+ 0 5- -5 2 1 -1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-875,41450] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:206:1] |
Generators of the group modulo torsion |
j |
-115762500/1092727 |
j-invariant |
L |
3.3923726936639 |
L(r)(E,1)/r! |
Ω |
0.7726221113461 |
Real period |
R |
0.36589390896315 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20600g1 41200c1 |
Quadratic twists by: -4 5 |