Atkin-Lehner |
2+ 5+ 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
23650a |
Isogeny class |
Conductor |
23650 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4803184509277343750 = 2 · 518 · 114 · 43 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 11+ 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-996167,368124991] |
[a1,a2,a3,a4,a6] |
Generators |
[103578:105269:216] |
Generators of the group modulo torsion |
j |
6996814880788790721/307403808593750 |
j-invariant |
L |
3.6163092117582 |
L(r)(E,1)/r! |
Ω |
0.24114500993727 |
Real period |
R |
7.4982045299194 |
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 |
4730g3 |
Quadratic twists by: 5 |