Atkin-Lehner |
2+ 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
20400a |
Isogeny class |
Conductor |
20400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
189612900000000 = 28 · 38 · 58 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-57508,-5247488] |
[a1,a2,a3,a4,a6] |
Generators |
[105066:12038125:8] |
Generators of the group modulo torsion |
j |
5258429611216/47403225 |
j-invariant |
L |
4.3486386001747 |
L(r)(E,1)/r! |
Ω |
0.30846302534316 |
Real period |
R |
7.0488814588668 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10200bg2 81600ht2 61200bq2 4080o2 |
Quadratic twists by: -4 8 -3 5 |