Atkin-Lehner |
2+ 3- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
41070o |
Isogeny class |
Conductor |
41070 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
-16042968750 = -1 · 2 · 3 · 59 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 3 1 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1028,-14152] |
[a1,a2,a3,a4,a6] |
Generators |
[74:525:1] |
Generators of the group modulo torsion |
j |
-87637942369/11718750 |
j-invariant |
L |
4.9477267054861 |
L(r)(E,1)/r! |
Ω |
0.41850417433492 |
Real period |
R |
1.3136007844956 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999929 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123210cy2 41070bd2 |
Quadratic twists by: -3 37 |