Atkin-Lehner |
3+ 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
126075h |
Isogeny class |
Conductor |
126075 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-443232421875 = -1 · 33 · 510 · 412 |
Discriminant |
Eigenvalues |
2 3+ 5+ -1 0 5 -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-3758,95543] |
[a1,a2,a3,a4,a6] |
Generators |
[20744:45969:512] |
Generators of the group modulo torsion |
j |
-223522816/16875 |
j-invariant |
L |
11.575630379641 |
L(r)(E,1)/r! |
Ω |
0.92229776465963 |
Real period |
R |
6.2754300890654 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000080164 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25215i1 126075ba1 |
Quadratic twists by: 5 41 |