Atkin-Lehner |
3+ 5+ 17- 89- |
Signs for the Atkin-Lehner involutions |
Class |
113475f |
Isogeny class |
Conductor |
113475 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
6749692645078125 = 34 · 57 · 17 · 894 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 0 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-48463,1092656] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:1617:1] |
Generators of the group modulo torsion |
j |
805629072996649/431980329285 |
j-invariant |
L |
3.0363843603739 |
L(r)(E,1)/r! |
Ω |
0.36829815576512 |
Real period |
R |
1.0305455981515 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000047838 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22695d3 |
Quadratic twists by: 5 |