Atkin-Lehner |
2+ 5+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
71390b |
Isogeny class |
Conductor |
71390 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
424512 |
Modular degree for the optimal curve |
Δ |
-238778644723520 = -1 · 26 · 5 · 118 · 592 |
Discriminant |
Eigenvalues |
2+ 1 5+ -3 11- -6 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-98134,11847592] |
[a1,a2,a3,a4,a6] |
Generators |
[173:-323:1] |
Generators of the group modulo torsion |
j |
-487567078009/1113920 |
j-invariant |
L |
3.1887298193831 |
L(r)(E,1)/r! |
Ω |
0.5576328047713 |
Real period |
R |
1.4295831377835 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000875 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71390j1 |
Quadratic twists by: -11 |