Atkin-Lehner |
2+ 5- 19+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
35720b |
Isogeny class |
Conductor |
35720 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
376000 |
Modular degree for the optimal curve |
Δ |
744810579200000 = 211 · 55 · 195 · 47 |
Discriminant |
Eigenvalues |
2+ -2 5- -2 -5 -5 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-967880,-366825872] |
[a1,a2,a3,a4,a6] |
Generators |
[-569:40:1] |
Generators of the group modulo torsion |
j |
48961955626266007442/363677040625 |
j-invariant |
L |
2.1767356863447 |
L(r)(E,1)/r! |
Ω |
0.15221040162077 |
Real period |
R |
2.8601667995953 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71440c1 |
Quadratic twists by: -4 |