Atkin-Lehner |
2+ 3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59850cd |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3491397330750000000 = 27 · 37 · 59 · 72 · 194 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2822401692,57714064299216] |
[a1,a2,a3,a4,a6] |
Generators |
[37479:2120898:1] |
Generators of the group modulo torsion |
j |
218289391029690300712901881/306514992000 |
j-invariant |
L |
5.0676193747605 |
L(r)(E,1)/r! |
Ω |
0.11274118515709 |
Real period |
R |
5.6186425657699 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000096 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19950cw3 11970br4 |
Quadratic twists by: -3 5 |