Atkin-Lehner |
3- 5+ 7+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
118755b |
Isogeny class |
Conductor |
118755 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
8154805784068125 = 38 · 54 · 74 · 134 · 29 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 0 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-51345,-1072004] |
[a1,a2,a3,a4,a6] |
Generators |
[396:6172:1] |
Generators of the group modulo torsion |
j |
20535033524962321/11186290513125 |
j-invariant |
L |
6.3637962460307 |
L(r)(E,1)/r! |
Ω |
0.33846540769863 |
Real period |
R |
2.3502388170591 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998912446 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39585h3 |
Quadratic twists by: -3 |