Atkin-Lehner |
2+ 5+ 19+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
107920b |
Isogeny class |
Conductor |
107920 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
35328 |
Modular degree for the optimal curve |
Δ |
539600 = 24 · 52 · 19 · 71 |
Discriminant |
Eigenvalues |
2+ -2 5+ -2 -4 2 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-451,3540] |
[a1,a2,a3,a4,a6] |
Generators |
[16:26:1] |
Generators of the group modulo torsion |
j |
635471325184/33725 |
j-invariant |
L |
3.0304676956688 |
L(r)(E,1)/r! |
Ω |
2.7615504127713 |
Real period |
R |
2.1947582180466 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998817971 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53960f1 |
Quadratic twists by: -4 |