Atkin-Lehner |
3+ 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
6435b |
Isogeny class |
Conductor |
6435 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
7167811365 = 33 · 5 · 11 · 136 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 11- 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-743,6826] |
[a1,a2,a3,a4,a6] |
Generators |
[1:77:1] |
Generators of the group modulo torsion |
j |
1677947202387/265474495 |
j-invariant |
L |
2.3797040037465 |
L(r)(E,1)/r! |
Ω |
1.2680234562658 |
Real period |
R |
0.62556781895148 |
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 |
102960by2 6435c2 32175d2 70785b2 |
Quadratic twists by: -4 -3 5 -11 |