Atkin-Lehner |
3+ 5+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
48165a |
Isogeny class |
Conductor |
48165 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
100778004003915225 = 34 · 52 · 1310 · 192 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 4 13+ -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-8139888,-8942108157] |
[a1,a2,a3,a4,a6] |
Generators |
[-14709117730688900874:6439693020299140635:8923584222638632] |
Generators of the group modulo torsion |
j |
12357168524759082961/20878805025 |
j-invariant |
L |
5.0461796477661 |
L(r)(E,1)/r! |
Ω |
0.0893809537283 |
Real period |
R |
28.228495206575 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000018 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3705e3 |
Quadratic twists by: 13 |