Atkin-Lehner |
2+ 3+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
59850s |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
962275781250 = 2 · 33 · 58 · 74 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-14817,-688909] |
[a1,a2,a3,a4,a6] |
Generators |
[-71:73:1] |
Generators of the group modulo torsion |
j |
852780481587/2280950 |
j-invariant |
L |
4.7546687765179 |
L(r)(E,1)/r! |
Ω |
0.43279070593249 |
Real period |
R |
1.3732586880764 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000408 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59850eg2 11970bd2 |
Quadratic twists by: -3 5 |