Atkin-Lehner |
3- 5+ 7- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
107415n |
Isogeny class |
Conductor |
107415 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1327523523046875 = 38 · 58 · 72 · 11 · 312 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 11+ -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-223767045,1288430986846] |
[a1,a2,a3,a4,a6] |
Generators |
[15683330214:-7790626357:1815848] |
Generators of the group modulo torsion |
j |
1699748102963327019840029521/1821019921875 |
j-invariant |
L |
7.5363171218199 |
L(r)(E,1)/r! |
Ω |
0.2141461005091 |
Real period |
R |
8.7981022402969 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999671726 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35805k6 |
Quadratic twists by: -3 |