Atkin-Lehner |
2- 5+ 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
100300j |
Isogeny class |
Conductor |
100300 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
170496 |
Modular degree for the optimal curve |
Δ |
1257511250000 = 24 · 57 · 172 · 592 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 -4 0 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12533,533188] |
[a1,a2,a3,a4,a6] |
Generators |
[93:425:1] [-32:950:1] |
Generators of the group modulo torsion |
j |
870930448384/5030045 |
j-invariant |
L |
7.1376948761562 |
L(r)(E,1)/r! |
Ω |
0.86619182792297 |
Real period |
R |
1.3733860959303 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999984438 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20060b1 |
Quadratic twists by: 5 |