Atkin-Lehner |
2+ 3+ 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
53040b |
Isogeny class |
Conductor |
53040 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
101276697600 = 210 · 34 · 52 · 132 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 13+ 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2096,34320] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:260:1] [-16:252:1] |
Generators of the group modulo torsion |
j |
994958062276/98903025 |
j-invariant |
L |
7.7238166228877 |
L(r)(E,1)/r! |
Ω |
1.0326123757523 |
Real period |
R |
1.8699699917067 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
26520c2 |
Quadratic twists by: -4 |