Atkin-Lehner |
2+ 3+ 5- 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
20130d |
Isogeny class |
Conductor |
20130 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
58596356610 = 2 · 38 · 5 · 114 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 11- 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3457,-78821] |
[a1,a2,a3,a4,a6] |
Generators |
[145:1507:1] |
Generators of the group modulo torsion |
j |
4571072705398681/58596356610 |
j-invariant |
L |
3.7282491425639 |
L(r)(E,1)/r! |
Ω |
0.62308189097698 |
Real period |
R |
2.9917810135022 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60390z3 100650ch3 |
Quadratic twists by: -3 5 |