Atkin-Lehner |
2+ 3+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
47424v |
Isogeny class |
Conductor |
47424 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
692011008 = 214 · 32 · 13 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 0 4 2 13- 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-100113,12225681] |
[a1,a2,a3,a4,a6] |
Generators |
[232:1197:1] |
Generators of the group modulo torsion |
j |
6772976019826000/42237 |
j-invariant |
L |
6.595459533325 |
L(r)(E,1)/r! |
Ω |
1.1021167609927 |
Real period |
R |
2.9921782186551 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47424dk2 5928e2 |
Quadratic twists by: -4 8 |