Atkin-Lehner |
2+ 3- 5+ 19+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
104310l |
Isogeny class |
Conductor |
104310 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-68757395483970 = -1 · 2 · 313 · 5 · 19 · 613 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -5 -2 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-32670,2315790] |
[a1,a2,a3,a4,a6] |
Generators |
[93:-321:1] |
Generators of the group modulo torsion |
j |
-5289943880279521/94317414930 |
j-invariant |
L |
2.3317377847014 |
L(r)(E,1)/r! |
Ω |
0.61808468575513 |
Real period |
R |
0.62875359605638 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998785706 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34770bf1 |
Quadratic twists by: -3 |