Atkin-Lehner |
3- 5+ 7+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
107415f |
Isogeny class |
Conductor |
107415 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1076903526057975 = 314 · 52 · 74 · 112 · 31 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 11+ 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10807381215,432445650417850] |
[a1,a2,a3,a4,a6] |
Generators |
[411593390:-243533020:6859] |
Generators of the group modulo torsion |
j |
191495069460600684775062690662641/1477233917775 |
j-invariant |
L |
6.9203670663966 |
L(r)(E,1)/r! |
Ω |
0.10913795525105 |
Real period |
R |
7.9261690571285 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999934156 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35805g6 |
Quadratic twists by: -3 |