Atkin-Lehner |
3+ 5+ 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
10455a |
Isogeny class |
Conductor |
10455 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1317796953788671875 = 35 · 58 · 173 · 414 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 -4 6 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6389136,-6218421186] |
[a1,a2,a3,a4,a6] |
Generators |
[-224327784696132:188150927426717:153646158016] |
Generators of the group modulo torsion |
j |
28843643185400165890629889/1317796953788671875 |
j-invariant |
L |
2.1572299562792 |
L(r)(E,1)/r! |
Ω |
0.094959891931529 |
Real period |
R |
22.717274760956 |
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 |
31365d4 52275g4 |
Quadratic twists by: -3 5 |