Atkin-Lehner |
3- 5- 37- 67- |
Signs for the Atkin-Lehner involutions |
Class |
111555q |
Isogeny class |
Conductor |
111555 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2206715750325 = 312 · 52 · 37 · 672 |
Discriminant |
Eigenvalues |
1 3- 5- -4 4 4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-44739,-3630452] |
[a1,a2,a3,a4,a6] |
Generators |
[-26238:18599:216] |
Generators of the group modulo torsion |
j |
13585025622900529/3027044925 |
j-invariant |
L |
8.1922923818382 |
L(r)(E,1)/r! |
Ω |
0.32827162012976 |
Real period |
R |
6.2389587571724 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999820311 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37185c2 |
Quadratic twists by: -3 |