Atkin-Lehner |
2+ 3- 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
61854i |
Isogeny class |
Conductor |
61854 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
129600 |
Modular degree for the optimal curve |
Δ |
-2289529273824 = -1 · 25 · 35 · 136 · 61 |
Discriminant |
Eigenvalues |
2+ 3- -1 2 -2 13+ -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-849,73348] |
[a1,a2,a3,a4,a6] |
Generators |
[14:-261:1] |
Generators of the group modulo torsion |
j |
-13997521/474336 |
j-invariant |
L |
5.0714195450009 |
L(r)(E,1)/r! |
Ω |
0.68327250071632 |
Real period |
R |
0.74222503320355 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993857 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
366b1 |
Quadratic twists by: 13 |