Atkin-Lehner |
3- 5- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
9135g |
Isogeny class |
Conductor |
9135 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
761393115 = 37 · 5 · 74 · 29 |
Discriminant |
Eigenvalues |
1 3- 5- 7+ 4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-20889,-1156842] |
[a1,a2,a3,a4,a6] |
Generators |
[130248:1549377:512] |
Generators of the group modulo torsion |
j |
1382804639990929/1044435 |
j-invariant |
L |
5.5089587299564 |
L(r)(E,1)/r! |
Ω |
0.39711764771817 |
Real period |
R |
6.9361796958796 |
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 |
3045g3 45675u4 63945l4 |
Quadratic twists by: -3 5 -7 |